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Finding the Third Proportional to 529,692.75 and 806,932.13

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Solution

The third proportional to 529,692.75 and 806,932.13 is: 1,229,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,692.75 : 806,932.13 = 806,932.13 : x
  2. Step 2: Convert to fraction form
    529,692.75/806,932.13 = 806,932.13/x
  3. Step 3: Cross multiply
    529,692.75x = 806,932.13 × 806,932.13
  4. Step 4: Simplify right side
    529,692.75x = 651,139,454,357.02
  5. Step 5: Solve for x
    x = 651,139,454,357.02/529,692.75
  6. Step 6: Final answer
    x = 1,229,277.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.