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Finding the Third Proportional to 229,772.50 and 498,775

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Solution

The third proportional to 229,772.50 and 498,775 is: 1,082,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,772.50 : 498,775 = 498,775 : x
  2. Step 2: Convert to fraction form
    229,772.50/498,775 = 498,775/x
  3. Step 3: Cross multiply
    229,772.50x = 498,775 × 498,775
  4. Step 4: Simplify right side
    229,772.50x = 248,776,500,625
  5. Step 5: Solve for x
    x = 248,776,500,625/229,772.50
  6. Step 6: Final answer
    x = 1,082,707.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.