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Finding the Third Proportional to 292,425 and 637,734

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Solution

The third proportional to 292,425 and 637,734 is: 1,390,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,425 : 637,734 = 637,734 : x
  2. Step 2: Convert to fraction form
    292,425/637,734 = 637,734/x
  3. Step 3: Cross multiply
    292,425x = 637,734 × 637,734
  4. Step 4: Simplify right side
    292,425x = 406,704,654,756
  5. Step 5: Solve for x
    x = 406,704,654,756/292,425
  6. Step 6: Final answer
    x = 1,390,799.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.