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Finding the Third Proportional to 341,792 and 747,908

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Solution

The third proportional to 341,792 and 747,908 is: 1,636,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,792 : 747,908 = 747,908 : x
  2. Step 2: Convert to fraction form
    341,792/747,908 = 747,908/x
  3. Step 3: Cross multiply
    341,792x = 747,908 × 747,908
  4. Step 4: Simplify right side
    341,792x = 559,366,376,464
  5. Step 5: Solve for x
    x = 559,366,376,464/341,792
  6. Step 6: Final answer
    x = 1,636,569.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.