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Finding the Third Proportional to 232,931.25 and 499,077.38

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Solution

The third proportional to 232,931.25 and 499,077.38 is: 1,069,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,931.25 : 499,077.38 = 499,077.38 : x
  2. Step 2: Convert to fraction form
    232,931.25/499,077.38 = 499,077.38/x
  3. Step 3: Cross multiply
    232,931.25x = 499,077.38 × 499,077.38
  4. Step 4: Simplify right side
    232,931.25x = 249,078,226,236.89
  5. Step 5: Solve for x
    x = 249,078,226,236.89/232,931.25
  6. Step 6: Final answer
    x = 1,069,320.78

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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.