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Finding the Third Proportional to 252,250 and 378,411

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Solution

The third proportional to 252,250 and 378,411 is: 567,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,250 : 378,411 = 378,411 : x
  2. Step 2: Convert to fraction form
    252,250/378,411 = 378,411/x
  3. Step 3: Cross multiply
    252,250x = 378,411 × 378,411
  4. Step 4: Simplify right side
    252,250x = 143,194,884,921
  5. Step 5: Solve for x
    x = 143,194,884,921/252,250
  6. Step 6: Final answer
    x = 567,670.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.