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Finding the Third Proportional to 331,708.50 and 497,041.50

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Solution

The third proportional to 331,708.50 and 497,041.50 is: 744,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,708.50 : 497,041.50 = 497,041.50 : x
  2. Step 2: Convert to fraction form
    331,708.50/497,041.50 = 497,041.50/x
  3. Step 3: Cross multiply
    331,708.50x = 497,041.50 × 497,041.50
  4. Step 4: Simplify right side
    331,708.50x = 247,050,252,722.25
  5. Step 5: Solve for x
    x = 247,050,252,722.25/331,708.50
  6. Step 6: Final answer
    x = 744,781.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.