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Finding the Third Proportional to 272,569 and 636,670

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Solution

The third proportional to 272,569 and 636,670 is: 1,487,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,569 : 636,670 = 636,670 : x
  2. Step 2: Convert to fraction form
    272,569/636,670 = 636,670/x
  3. Step 3: Cross multiply
    272,569x = 636,670 × 636,670
  4. Step 4: Simplify right side
    272,569x = 405,348,688,900
  5. Step 5: Solve for x
    x = 405,348,688,900/272,569
  6. Step 6: Final answer
    x = 1,487,141.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.