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Finding the Third Proportional to 415,837.13 and 608,932.69

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Solution

The third proportional to 415,837.13 and 608,932.69 is: 891,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,837.13 : 608,932.69 = 608,932.69 : x
  2. Step 2: Convert to fraction form
    415,837.13/608,932.69 = 608,932.69/x
  3. Step 3: Cross multiply
    415,837.13x = 608,932.69 × 608,932.69
  4. Step 4: Simplify right side
    415,837.13x = 370,799,017,905.97
  5. Step 5: Solve for x
    x = 370,799,017,905.97/415,837.13
  6. Step 6: Final answer
    x = 891,692.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.