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Finding the Third Proportional to 274,464 and 601,472

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Solution

The third proportional to 274,464 and 601,472 is: 1,318,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,464 : 601,472 = 601,472 : x
  2. Step 2: Convert to fraction form
    274,464/601,472 = 601,472/x
  3. Step 3: Cross multiply
    274,464x = 601,472 × 601,472
  4. Step 4: Simplify right side
    274,464x = 361,768,566,784
  5. Step 5: Solve for x
    x = 361,768,566,784/274,464
  6. Step 6: Final answer
    x = 1,318,091.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.