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Finding the Third Proportional to 249,881 and 384,380

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Solution

The third proportional to 249,881 and 384,380 is: 591,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,881 : 384,380 = 384,380 : x
  2. Step 2: Convert to fraction form
    249,881/384,380 = 384,380/x
  3. Step 3: Cross multiply
    249,881x = 384,380 × 384,380
  4. Step 4: Simplify right side
    249,881x = 147,747,984,400
  5. Step 5: Solve for x
    x = 147,747,984,400/249,881
  6. Step 6: Final answer
    x = 591,273.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.