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Finding the Third Proportional to 516,204 and 782,082

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Solution

The third proportional to 516,204 and 782,082 is: 1,184,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,204 : 782,082 = 782,082 : x
  2. Step 2: Convert to fraction form
    516,204/782,082 = 782,082/x
  3. Step 3: Cross multiply
    516,204x = 782,082 × 782,082
  4. Step 4: Simplify right side
    516,204x = 611,652,254,724
  5. Step 5: Solve for x
    x = 611,652,254,724/516,204
  6. Step 6: Final answer
    x = 1,184,904.14

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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.