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Finding the Third Proportional to 277,498 and 654,853

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Solution

The third proportional to 277,498 and 654,853 is: 1,545,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,498 : 654,853 = 654,853 : x
  2. Step 2: Convert to fraction form
    277,498/654,853 = 654,853/x
  3. Step 3: Cross multiply
    277,498x = 654,853 × 654,853
  4. Step 4: Simplify right side
    277,498x = 428,832,451,609
  5. Step 5: Solve for x
    x = 428,832,451,609/277,498
  6. Step 6: Final answer
    x = 1,545,353.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.