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Finding the Third Proportional to 284,739,806.25 and 624,185,291.25

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Solution

The third proportional to 284,739,806.25 and 624,185,291.25 is: 1,368,292,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,739,806.25 : 624,185,291.25 = 624,185,291.25 : x
  2. Step 2: Convert to fraction form
    284,739,806.25/624,185,291.25 = 624,185,291.25/x
  3. Step 3: Cross multiply
    284,739,806.25x = 624,185,291.25 × 624,185,291.25
  4. Step 4: Simplify right side
    284,739,806.25x = 389,607,277,812,847,296
  5. Step 5: Solve for x
    x = 389,607,277,812,847,296/284,739,806.25
  6. Step 6: Final answer
    x = 1,368,292,276.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.