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Finding the Third Proportional to 557,448 and 841,397

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Solution

The third proportional to 557,448 and 841,397 is: 1,269,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,448 : 841,397 = 841,397 : x
  2. Step 2: Convert to fraction form
    557,448/841,397 = 841,397/x
  3. Step 3: Cross multiply
    557,448x = 841,397 × 841,397
  4. Step 4: Simplify right side
    557,448x = 707,948,911,609
  5. Step 5: Solve for x
    x = 707,948,911,609/557,448
  6. Step 6: Final answer
    x = 1,269,981.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.