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Finding the Third Proportional to 533,719 and 811,577

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Solution

The third proportional to 533,719 and 811,577 is: 1,234,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,719 : 811,577 = 811,577 : x
  2. Step 2: Convert to fraction form
    533,719/811,577 = 811,577/x
  3. Step 3: Cross multiply
    533,719x = 811,577 × 811,577
  4. Step 4: Simplify right side
    533,719x = 658,657,226,929
  5. Step 5: Solve for x
    x = 658,657,226,929/533,719
  6. Step 6: Final answer
    x = 1,234,089.90

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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.