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Finding the Third Proportional to 274,480 and 595,472

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Solution

The third proportional to 274,480 and 595,472 is: 1,291,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,480 : 595,472 = 595,472 : x
  2. Step 2: Convert to fraction form
    274,480/595,472 = 595,472/x
  3. Step 3: Cross multiply
    274,480x = 595,472 × 595,472
  4. Step 4: Simplify right side
    274,480x = 354,586,902,784
  5. Step 5: Solve for x
    x = 354,586,902,784/274,480
  6. Step 6: Final answer
    x = 1,291,849.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.