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Finding the Third Proportional to 664,012.69 and 974,221.17

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Solution

The third proportional to 664,012.69 and 974,221.17 is: 1,429,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,012.69 : 974,221.17 = 974,221.17 : x
  2. Step 2: Convert to fraction form
    664,012.69/974,221.17 = 974,221.17/x
  3. Step 3: Cross multiply
    664,012.69x = 974,221.17 × 974,221.17
  4. Step 4: Simplify right side
    664,012.69x = 949,106,891,729.50
  5. Step 5: Solve for x
    x = 949,106,891,729.50/664,012.69
  6. Step 6: Final answer
    x = 1,429,350.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.