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Finding the Third Proportional to 296,489.25 and 634,799.25

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Solution

The third proportional to 296,489.25 and 634,799.25 is: 1,359,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,489.25 : 634,799.25 = 634,799.25 : x
  2. Step 2: Convert to fraction form
    296,489.25/634,799.25 = 634,799.25/x
  3. Step 3: Cross multiply
    296,489.25x = 634,799.25 × 634,799.25
  4. Step 4: Simplify right side
    296,489.25x = 402,970,087,800.56
  5. Step 5: Solve for x
    x = 402,970,087,800.56/296,489.25
  6. Step 6: Final answer
    x = 1,359,138.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.