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Finding the Third Proportional to 249,668.26 and 539,240.73

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Solution

The third proportional to 249,668.26 and 539,240.73 is: 1,164,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,668.26 : 539,240.73 = 539,240.73 : x
  2. Step 2: Convert to fraction form
    249,668.26/539,240.73 = 539,240.73/x
  3. Step 3: Cross multiply
    249,668.26x = 539,240.73 × 539,240.73
  4. Step 4: Simplify right side
    249,668.26x = 290,780,565,396.48
  5. Step 5: Solve for x
    x = 290,780,565,396.48/249,668.26
  6. Step 6: Final answer
    x = 1,164,667.72

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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.