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Finding the Third Proportional to 249,125 and 386,812

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Solution

The third proportional to 249,125 and 386,812 is: 600,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,125 : 386,812 = 386,812 : x
  2. Step 2: Convert to fraction form
    249,125/386,812 = 386,812/x
  3. Step 3: Cross multiply
    249,125x = 386,812 × 386,812
  4. Step 4: Simplify right side
    249,125x = 149,623,523,344
  5. Step 5: Solve for x
    x = 149,623,523,344/249,125
  6. Step 6: Final answer
    x = 600,596.18

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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.