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Finding the Third Proportional to 277,542 and 654,959

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Solution

The third proportional to 277,542 and 654,959 is: 1,545,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,542 : 654,959 = 654,959 : x
  2. Step 2: Convert to fraction form
    277,542/654,959 = 654,959/x
  3. Step 3: Cross multiply
    277,542x = 654,959 × 654,959
  4. Step 4: Simplify right side
    277,542x = 428,971,291,681
  5. Step 5: Solve for x
    x = 428,971,291,681/277,542
  6. Step 6: Final answer
    x = 1,545,608.56

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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.