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Finding the Third Proportional to 415,298 and 636,654

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Solution

The third proportional to 415,298 and 636,654 is: 975,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,298 : 636,654 = 636,654 : x
  2. Step 2: Convert to fraction form
    415,298/636,654 = 636,654/x
  3. Step 3: Cross multiply
    415,298x = 636,654 × 636,654
  4. Step 4: Simplify right side
    415,298x = 405,328,315,716
  5. Step 5: Solve for x
    x = 405,328,315,716/415,298
  6. Step 6: Final answer
    x = 975,993.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.