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Finding the Third Proportional to 249,399.75 and 516,534.75

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Solution

The third proportional to 249,399.75 and 516,534.75 is: 1,069,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,399.75 : 516,534.75 = 516,534.75 : x
  2. Step 2: Convert to fraction form
    249,399.75/516,534.75 = 516,534.75/x
  3. Step 3: Cross multiply
    249,399.75x = 516,534.75 × 516,534.75
  4. Step 4: Simplify right side
    249,399.75x = 266,808,147,957.56
  5. Step 5: Solve for x
    x = 266,808,147,957.56/249,399.75
  6. Step 6: Final answer
    x = 1,069,801.18

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