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Finding the Third Proportional to 232,935.75 and 499,061.25

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Solution

The third proportional to 232,935.75 and 499,061.25 is: 1,069,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,935.75 : 499,061.25 = 499,061.25 : x
  2. Step 2: Convert to fraction form
    232,935.75/499,061.25 = 499,061.25/x
  3. Step 3: Cross multiply
    232,935.75x = 499,061.25 × 499,061.25
  4. Step 4: Simplify right side
    232,935.75x = 249,062,131,251.56
  5. Step 5: Solve for x
    x = 249,062,131,251.56/232,935.75
  6. Step 6: Final answer
    x = 1,069,231.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.