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Finding the Third Proportional to 249,672.75 and 539,249.25

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Solution

The third proportional to 249,672.75 and 539,249.25 is: 1,164,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,672.75 : 539,249.25 = 539,249.25 : x
  2. Step 2: Convert to fraction form
    249,672.75/539,249.25 = 539,249.25/x
  3. Step 3: Cross multiply
    249,672.75x = 539,249.25 × 539,249.25
  4. Step 4: Simplify right side
    249,672.75x = 290,789,753,625.56
  5. Step 5: Solve for x
    x = 290,789,753,625.56/249,672.75
  6. Step 6: Final answer
    x = 1,164,683.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.