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Finding the Third Proportional to 249,311 and 548,464

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Solution

The third proportional to 249,311 and 548,464 is: 1,206,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,311 : 548,464 = 548,464 : x
  2. Step 2: Convert to fraction form
    249,311/548,464 = 548,464/x
  3. Step 3: Cross multiply
    249,311x = 548,464 × 548,464
  4. Step 4: Simplify right side
    249,311x = 300,812,759,296
  5. Step 5: Solve for x
    x = 300,812,759,296/249,311
  6. Step 6: Final answer
    x = 1,206,576.36

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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.