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Finding the Third Proportional to 356,801 and 748,624

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Solution

The third proportional to 356,801 and 748,624 is: 1,570,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,801 : 748,624 = 748,624 : x
  2. Step 2: Convert to fraction form
    356,801/748,624 = 748,624/x
  3. Step 3: Cross multiply
    356,801x = 748,624 × 748,624
  4. Step 4: Simplify right side
    356,801x = 560,437,893,376
  5. Step 5: Solve for x
    x = 560,437,893,376/356,801
  6. Step 6: Final answer
    x = 1,570,729.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.