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Finding the Third Proportional to 591,957.75 and 953,330.25

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Solution

The third proportional to 591,957.75 and 953,330.25 is: 1,535,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,957.75 : 953,330.25 = 953,330.25 : x
  2. Step 2: Convert to fraction form
    591,957.75/953,330.25 = 953,330.25/x
  3. Step 3: Cross multiply
    591,957.75x = 953,330.25 × 953,330.25
  4. Step 4: Simplify right side
    591,957.75x = 908,838,565,565.06
  5. Step 5: Solve for x
    x = 908,838,565,565.06/591,957.75
  6. Step 6: Final answer
    x = 1,535,309.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.