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Finding the Third Proportional to 249,878 and 386,494

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Solution

The third proportional to 249,878 and 386,494 is: 597,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,878 : 386,494 = 386,494 : x
  2. Step 2: Convert to fraction form
    249,878/386,494 = 386,494/x
  3. Step 3: Cross multiply
    249,878x = 386,494 × 386,494
  4. Step 4: Simplify right side
    249,878x = 149,377,612,036
  5. Step 5: Solve for x
    x = 149,377,612,036/249,878
  6. Step 6: Final answer
    x = 597,802.18

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