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Finding the Third Proportional to 323,792 and 660,428

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Solution

The third proportional to 323,792 and 660,428 is: 1,347,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,792 : 660,428 = 660,428 : x
  2. Step 2: Convert to fraction form
    323,792/660,428 = 660,428/x
  3. Step 3: Cross multiply
    323,792x = 660,428 × 660,428
  4. Step 4: Simplify right side
    323,792x = 436,165,143,184
  5. Step 5: Solve for x
    x = 436,165,143,184/323,792
  6. Step 6: Final answer
    x = 1,347,053.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.