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Finding the Third Proportional to 252,524 and 552,550

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Solution

The third proportional to 252,524 and 552,550 is: 1,209,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,524 : 552,550 = 552,550 : x
  2. Step 2: Convert to fraction form
    252,524/552,550 = 552,550/x
  3. Step 3: Cross multiply
    252,524x = 552,550 × 552,550
  4. Step 4: Simplify right side
    252,524x = 305,311,502,500
  5. Step 5: Solve for x
    x = 305,311,502,500/252,524
  6. Step 6: Final answer
    x = 1,209,039.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.