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Finding the Third Proportional to 356,728 and 522,294

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Solution

The third proportional to 356,728 and 522,294 is: 764,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,728 : 522,294 = 522,294 : x
  2. Step 2: Convert to fraction form
    356,728/522,294 = 522,294/x
  3. Step 3: Cross multiply
    356,728x = 522,294 × 522,294
  4. Step 4: Simplify right side
    356,728x = 272,791,022,436
  5. Step 5: Solve for x
    x = 272,791,022,436/356,728
  6. Step 6: Final answer
    x = 764,703.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.