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Finding the Third Proportional to 229,536.28 and 499,729.50

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Solution

The third proportional to 229,536.28 and 499,729.50 is: 1,087,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,536.28 : 499,729.50 = 499,729.50 : x
  2. Step 2: Convert to fraction form
    229,536.28/499,729.50 = 499,729.50/x
  3. Step 3: Cross multiply
    229,536.28x = 499,729.50 × 499,729.50
  4. Step 4: Simplify right side
    229,536.28x = 249,729,573,170.25
  5. Step 5: Solve for x
    x = 249,729,573,170.25/229,536.28
  6. Step 6: Final answer
    x = 1,087,974.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.