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Finding the Third Proportional to 249,447.75 and 548,721

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Solution

The third proportional to 249,447.75 and 548,721 is: 1,207,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,447.75 : 548,721 = 548,721 : x
  2. Step 2: Convert to fraction form
    249,447.75/548,721 = 548,721/x
  3. Step 3: Cross multiply
    249,447.75x = 548,721 × 548,721
  4. Step 4: Simplify right side
    249,447.75x = 301,094,735,841
  5. Step 5: Solve for x
    x = 301,094,735,841/249,447.75
  6. Step 6: Final answer
    x = 1,207,045.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.