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Finding the Third Proportional to 237,433.50 and 499,470.75

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Solution

The third proportional to 237,433.50 and 499,470.75 is: 1,050,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,433.50 : 499,470.75 = 499,470.75 : x
  2. Step 2: Convert to fraction form
    237,433.50/499,470.75 = 499,470.75/x
  3. Step 3: Cross multiply
    237,433.50x = 499,470.75 × 499,470.75
  4. Step 4: Simplify right side
    237,433.50x = 249,471,030,105.56
  5. Step 5: Solve for x
    x = 249,471,030,105.56/237,433.50
  6. Step 6: Final answer
    x = 1,050,698.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.