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Finding the Third Proportional to 367,082 and 808,664

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Solution

The third proportional to 367,082 and 808,664 is: 1,781,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,082 : 808,664 = 808,664 : x
  2. Step 2: Convert to fraction form
    367,082/808,664 = 808,664/x
  3. Step 3: Cross multiply
    367,082x = 808,664 × 808,664
  4. Step 4: Simplify right side
    367,082x = 653,937,464,896
  5. Step 5: Solve for x
    x = 653,937,464,896/367,082
  6. Step 6: Final answer
    x = 1,781,447.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.