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Finding the Third Proportional to 232,899.75 and 498,999.75

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Solution

The third proportional to 232,899.75 and 498,999.75 is: 1,069,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,899.75 : 498,999.75 = 498,999.75 : x
  2. Step 2: Convert to fraction form
    232,899.75/498,999.75 = 498,999.75/x
  3. Step 3: Cross multiply
    232,899.75x = 498,999.75 × 498,999.75
  4. Step 4: Simplify right side
    232,899.75x = 249,000,750,500.06
  5. Step 5: Solve for x
    x = 249,000,750,500.06/232,899.75
  6. Step 6: Final answer
    x = 1,069,132.75

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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.