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Finding the Third Proportional to 376,498 and 565,587

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Solution

The third proportional to 376,498 and 565,587 is: 849,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,498 : 565,587 = 565,587 : x
  2. Step 2: Convert to fraction form
    376,498/565,587 = 565,587/x
  3. Step 3: Cross multiply
    376,498x = 565,587 × 565,587
  4. Step 4: Simplify right side
    376,498x = 319,888,654,569
  5. Step 5: Solve for x
    x = 319,888,654,569/376,498
  6. Step 6: Final answer
    x = 849,642.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.