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Finding the Third Proportional to 588,744 and 933,785

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Solution

The third proportional to 588,744 and 933,785 is: 1,481,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,744 : 933,785 = 933,785 : x
  2. Step 2: Convert to fraction form
    588,744/933,785 = 933,785/x
  3. Step 3: Cross multiply
    588,744x = 933,785 × 933,785
  4. Step 4: Simplify right side
    588,744x = 871,954,426,225
  5. Step 5: Solve for x
    x = 871,954,426,225/588,744
  6. Step 6: Final answer
    x = 1,481,041.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.