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Finding the Third Proportional to 604,591.50 and 913,692

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Solution

The third proportional to 604,591.50 and 913,692 is: 1,380,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,591.50 : 913,692 = 913,692 : x
  2. Step 2: Convert to fraction form
    604,591.50/913,692 = 913,692/x
  3. Step 3: Cross multiply
    604,591.50x = 913,692 × 913,692
  4. Step 4: Simplify right side
    604,591.50x = 834,833,070,864
  5. Step 5: Solve for x
    x = 834,833,070,864/604,591.50
  6. Step 6: Final answer
    x = 1,380,821.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.