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Finding the Third Proportional to 232,876.69 and 499,420.69

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Solution

The third proportional to 232,876.69 and 499,420.69 is: 1,071,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,876.69 : 499,420.69 = 499,420.69 : x
  2. Step 2: Convert to fraction form
    232,876.69/499,420.69 = 499,420.69/x
  3. Step 3: Cross multiply
    232,876.69x = 499,420.69 × 499,420.69
  4. Step 4: Simplify right side
    232,876.69x = 249,421,023,102.97
  5. Step 5: Solve for x
    x = 249,421,023,102.97/232,876.69
  6. Step 6: Final answer
    x = 1,071,043.33

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