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Finding the Third Proportional to 218,577 and 347,559

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Solution

The third proportional to 218,577 and 347,559 is: 552,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,577 : 347,559 = 347,559 : x
  2. Step 2: Convert to fraction form
    218,577/347,559 = 347,559/x
  3. Step 3: Cross multiply
    218,577x = 347,559 × 347,559
  4. Step 4: Simplify right side
    218,577x = 120,797,258,481
  5. Step 5: Solve for x
    x = 120,797,258,481/218,577
  6. Step 6: Final answer
    x = 552,653.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.