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Finding the Third Proportional to 520,082 and 825,220

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Solution

The third proportional to 520,082 and 825,220 is: 1,309,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,082 : 825,220 = 825,220 : x
  2. Step 2: Convert to fraction form
    520,082/825,220 = 825,220/x
  3. Step 3: Cross multiply
    520,082x = 825,220 × 825,220
  4. Step 4: Simplify right side
    520,082x = 680,988,048,400
  5. Step 5: Solve for x
    x = 680,988,048,400/520,082
  6. Step 6: Final answer
    x = 1,309,385.92

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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.