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Finding the Third Proportional to 249,723 and 539,348.25

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Solution

The third proportional to 249,723 and 539,348.25 is: 1,164,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,723 : 539,348.25 = 539,348.25 : x
  2. Step 2: Convert to fraction form
    249,723/539,348.25 = 539,348.25/x
  3. Step 3: Cross multiply
    249,723x = 539,348.25 × 539,348.25
  4. Step 4: Simplify right side
    249,723x = 290,896,534,778.06
  5. Step 5: Solve for x
    x = 290,896,534,778.06/249,723
  6. Step 6: Final answer
    x = 1,164,876.82

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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.