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Finding the Third Proportional to 249,294 and 386,742

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Solution

The third proportional to 249,294 and 386,742 is: 599,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,294 : 386,742 = 386,742 : x
  2. Step 2: Convert to fraction form
    249,294/386,742 = 386,742/x
  3. Step 3: Cross multiply
    249,294x = 386,742 × 386,742
  4. Step 4: Simplify right side
    249,294x = 149,569,374,564
  5. Step 5: Solve for x
    x = 149,569,374,564/249,294
  6. Step 6: Final answer
    x = 599,971.82

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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.