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Finding the Third Proportional to 551,369 and 748,294

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Solution

The third proportional to 551,369 and 748,294 is: 1,015,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,369 : 748,294 = 748,294 : x
  2. Step 2: Convert to fraction form
    551,369/748,294 = 748,294/x
  3. Step 3: Cross multiply
    551,369x = 748,294 × 748,294
  4. Step 4: Simplify right side
    551,369x = 559,943,910,436
  5. Step 5: Solve for x
    x = 559,943,910,436/551,369
  6. Step 6: Final answer
    x = 1,015,552.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.