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Finding the Third Proportional to 656,062.50 and 980,677.50

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Solution

The third proportional to 656,062.50 and 980,677.50 is: 1,465,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,062.50 : 980,677.50 = 980,677.50 : x
  2. Step 2: Convert to fraction form
    656,062.50/980,677.50 = 980,677.50/x
  3. Step 3: Cross multiply
    656,062.50x = 980,677.50 × 980,677.50
  4. Step 4: Simplify right side
    656,062.50x = 961,728,359,006.25
  5. Step 5: Solve for x
    x = 961,728,359,006.25/656,062.50
  6. Step 6: Final answer
    x = 1,465,909.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.