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Finding the Third Proportional to 296,655 and 639,508.50

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Solution

The third proportional to 296,655 and 639,508.50 is: 1,378,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,655 : 639,508.50 = 639,508.50 : x
  2. Step 2: Convert to fraction form
    296,655/639,508.50 = 639,508.50/x
  3. Step 3: Cross multiply
    296,655x = 639,508.50 × 639,508.50
  4. Step 4: Simplify right side
    296,655x = 408,971,121,572.25
  5. Step 5: Solve for x
    x = 408,971,121,572.25/296,655
  6. Step 6: Final answer
    x = 1,378,608.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.