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Finding the Third Proportional to 639,284.50 and 970,591

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Solution

The third proportional to 639,284.50 and 970,591 is: 1,473,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,284.50 : 970,591 = 970,591 : x
  2. Step 2: Convert to fraction form
    639,284.50/970,591 = 970,591/x
  3. Step 3: Cross multiply
    639,284.50x = 970,591 × 970,591
  4. Step 4: Simplify right side
    639,284.50x = 942,046,889,281
  5. Step 5: Solve for x
    x = 942,046,889,281/639,284.50
  6. Step 6: Final answer
    x = 1,473,595.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.