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Finding the Third Proportional to 242,498 and 571,634

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Solution

The third proportional to 242,498 and 571,634 is: 1,347,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,498 : 571,634 = 571,634 : x
  2. Step 2: Convert to fraction form
    242,498/571,634 = 571,634/x
  3. Step 3: Cross multiply
    242,498x = 571,634 × 571,634
  4. Step 4: Simplify right side
    242,498x = 326,765,429,956
  5. Step 5: Solve for x
    x = 326,765,429,956/242,498
  6. Step 6: Final answer
    x = 1,347,497.42

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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.