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Finding the Third Proportional to 724,605.75 and 969,823.13

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Solution

The third proportional to 724,605.75 and 969,823.13 is: 1,298,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,605.75 : 969,823.13 = 969,823.13 : x
  2. Step 2: Convert to fraction form
    724,605.75/969,823.13 = 969,823.13/x
  3. Step 3: Cross multiply
    724,605.75x = 969,823.13 × 969,823.13
  4. Step 4: Simplify right side
    724,605.75x = 940,556,893,784.77
  5. Step 5: Solve for x
    x = 940,556,893,784.77/724,605.75
  6. Step 6: Final answer
    x = 1,298,025.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.