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Finding the Third Proportional to 342,719 and 533,577

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Solution

The third proportional to 342,719 and 533,577 is: 830,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,719 : 533,577 = 533,577 : x
  2. Step 2: Convert to fraction form
    342,719/533,577 = 533,577/x
  3. Step 3: Cross multiply
    342,719x = 533,577 × 533,577
  4. Step 4: Simplify right side
    342,719x = 284,704,414,929
  5. Step 5: Solve for x
    x = 284,704,414,929/342,719
  6. Step 6: Final answer
    x = 830,722.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.