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Finding the Third Proportional to 552,577.50 and 825,453

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Solution

The third proportional to 552,577.50 and 825,453 is: 1,233,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,577.50 : 825,453 = 825,453 : x
  2. Step 2: Convert to fraction form
    552,577.50/825,453 = 825,453/x
  3. Step 3: Cross multiply
    552,577.50x = 825,453 × 825,453
  4. Step 4: Simplify right side
    552,577.50x = 681,372,655,209
  5. Step 5: Solve for x
    x = 681,372,655,209/552,577.50
  6. Step 6: Final answer
    x = 1,233,080.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.