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Finding the Third Proportional to 324,792 and 708,605

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Solution

The third proportional to 324,792 and 708,605 is: 1,545,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,792 : 708,605 = 708,605 : x
  2. Step 2: Convert to fraction form
    324,792/708,605 = 708,605/x
  3. Step 3: Cross multiply
    324,792x = 708,605 × 708,605
  4. Step 4: Simplify right side
    324,792x = 502,121,046,025
  5. Step 5: Solve for x
    x = 502,121,046,025/324,792
  6. Step 6: Final answer
    x = 1,545,977.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.