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Finding the Third Proportional to 284,739,810 and 624,185,298

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Solution

The third proportional to 284,739,810 and 624,185,298 is: 1,368,292,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,739,810 : 624,185,298 = 624,185,298 : x
  2. Step 2: Convert to fraction form
    284,739,810/624,185,298 = 624,185,298/x
  3. Step 3: Cross multiply
    284,739,810x = 624,185,298 × 624,185,298
  4. Step 4: Simplify right side
    284,739,810x = 389,607,286,239,348,800
  5. Step 5: Solve for x
    x = 389,607,286,239,348,800/284,739,810
  6. Step 6: Final answer
    x = 1,368,292,288.46

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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.