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Finding the Third Proportional to 313,569 and 677,448

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Solution

The third proportional to 313,569 and 677,448 is: 1,463,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,569 : 677,448 = 677,448 : x
  2. Step 2: Convert to fraction form
    313,569/677,448 = 677,448/x
  3. Step 3: Cross multiply
    313,569x = 677,448 × 677,448
  4. Step 4: Simplify right side
    313,569x = 458,935,792,704
  5. Step 5: Solve for x
    x = 458,935,792,704/313,569
  6. Step 6: Final answer
    x = 1,463,587.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.