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Finding the Third Proportional to 588,741.75 and 933,781.50

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Solution

The third proportional to 588,741.75 and 933,781.50 is: 1,481,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,741.75 : 933,781.50 = 933,781.50 : x
  2. Step 2: Convert to fraction form
    588,741.75/933,781.50 = 933,781.50/x
  3. Step 3: Cross multiply
    588,741.75x = 933,781.50 × 933,781.50
  4. Step 4: Simplify right side
    588,741.75x = 871,947,889,742.25
  5. Step 5: Solve for x
    x = 871,947,889,742.25/588,741.75
  6. Step 6: Final answer
    x = 1,481,036.28

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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.