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Finding the Third Proportional to 249,080 and 386,744

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Solution

The third proportional to 249,080 and 386,744 is: 600,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,080 : 386,744 = 386,744 : x
  2. Step 2: Convert to fraction form
    249,080/386,744 = 386,744/x
  3. Step 3: Cross multiply
    249,080x = 386,744 × 386,744
  4. Step 4: Simplify right side
    249,080x = 149,570,921,536
  5. Step 5: Solve for x
    x = 149,570,921,536/249,080
  6. Step 6: Final answer
    x = 600,493.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.