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Finding the Third Proportional to 356,732 and 523,272

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Solution

The third proportional to 356,732 and 523,272 is: 767,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,732 : 523,272 = 523,272 : x
  2. Step 2: Convert to fraction form
    356,732/523,272 = 523,272/x
  3. Step 3: Cross multiply
    356,732x = 523,272 × 523,272
  4. Step 4: Simplify right side
    356,732x = 273,813,585,984
  5. Step 5: Solve for x
    x = 273,813,585,984/356,732
  6. Step 6: Final answer
    x = 767,561.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.