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Finding the Third Proportional to 547,127 and 818,500

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Solution

The third proportional to 547,127 and 818,500 is: 1,224,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,127 : 818,500 = 818,500 : x
  2. Step 2: Convert to fraction form
    547,127/818,500 = 818,500/x
  3. Step 3: Cross multiply
    547,127x = 818,500 × 818,500
  4. Step 4: Simplify right side
    547,127x = 669,942,250,000
  5. Step 5: Solve for x
    x = 669,942,250,000/547,127
  6. Step 6: Final answer
    x = 1,224,473.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.