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Finding the Third Proportional to 566,808 and 868,068

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Solution

The third proportional to 566,808 and 868,068 is: 1,329,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,808 : 868,068 = 868,068 : x
  2. Step 2: Convert to fraction form
    566,808/868,068 = 868,068/x
  3. Step 3: Cross multiply
    566,808x = 868,068 × 868,068
  4. Step 4: Simplify right side
    566,808x = 753,542,052,624
  5. Step 5: Solve for x
    x = 753,542,052,624/566,808
  6. Step 6: Final answer
    x = 1,329,448.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.