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Finding the Third Proportional to 331,323.75 and 499,747.50

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Solution

The third proportional to 331,323.75 and 499,747.50 is: 753,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,323.75 : 499,747.50 = 499,747.50 : x
  2. Step 2: Convert to fraction form
    331,323.75/499,747.50 = 499,747.50/x
  3. Step 3: Cross multiply
    331,323.75x = 499,747.50 × 499,747.50
  4. Step 4: Simplify right side
    331,323.75x = 249,747,563,756.25
  5. Step 5: Solve for x
    x = 249,747,563,756.25/331,323.75
  6. Step 6: Final answer
    x = 753,787.09

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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.