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Finding the Third Proportional to 249,399.38 and 516,534.38

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Solution

The third proportional to 249,399.38 and 516,534.38 is: 1,069,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,399.38 : 516,534.38 = 516,534.38 : x
  2. Step 2: Convert to fraction form
    249,399.38/516,534.38 = 516,534.38/x
  3. Step 3: Cross multiply
    249,399.38x = 516,534.38 × 516,534.38
  4. Step 4: Simplify right side
    249,399.38x = 266,807,760,556.64
  5. Step 5: Solve for x
    x = 266,807,760,556.64/249,399.38
  6. Step 6: Final answer
    x = 1,069,801.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.