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Finding the Third Proportional to 229,969.50 and 502,687.50

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Solution

The third proportional to 229,969.50 and 502,687.50 is: 1,098,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,969.50 : 502,687.50 = 502,687.50 : x
  2. Step 2: Convert to fraction form
    229,969.50/502,687.50 = 502,687.50/x
  3. Step 3: Cross multiply
    229,969.50x = 502,687.50 × 502,687.50
  4. Step 4: Simplify right side
    229,969.50x = 252,694,722,656.25
  5. Step 5: Solve for x
    x = 252,694,722,656.25/229,969.50
  6. Step 6: Final answer
    x = 1,098,818.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.