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Finding the Third Proportional to 411,345 and 624,954

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Solution

The third proportional to 411,345 and 624,954 is: 949,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,345 : 624,954 = 624,954 : x
  2. Step 2: Convert to fraction form
    411,345/624,954 = 624,954/x
  3. Step 3: Cross multiply
    411,345x = 624,954 × 624,954
  4. Step 4: Simplify right side
    411,345x = 390,567,502,116
  5. Step 5: Solve for x
    x = 390,567,502,116/411,345
  6. Step 6: Final answer
    x = 949,488.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.