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Finding the Third Proportional to 275,270.50 and 402,282

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Solution

The third proportional to 275,270.50 and 402,282 is: 587,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,270.50 : 402,282 = 402,282 : x
  2. Step 2: Convert to fraction form
    275,270.50/402,282 = 402,282/x
  3. Step 3: Cross multiply
    275,270.50x = 402,282 × 402,282
  4. Step 4: Simplify right side
    275,270.50x = 161,830,807,524
  5. Step 5: Solve for x
    x = 161,830,807,524/275,270.50
  6. Step 6: Final answer
    x = 587,897.39

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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.