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Finding the Third Proportional to 275,280 and 402,293

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Solution

The third proportional to 275,280 and 402,293 is: 587,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280 : 402,293 = 402,293 : x
  2. Step 2: Convert to fraction form
    275,280/402,293 = 402,293/x
  3. Step 3: Cross multiply
    275,280x = 402,293 × 402,293
  4. Step 4: Simplify right side
    275,280x = 161,839,657,849
  5. Step 5: Solve for x
    x = 161,839,657,849/275,280
  6. Step 6: Final answer
    x = 587,909.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.