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Finding the Third Proportional to 596,628 and 866,766

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Solution

The third proportional to 596,628 and 866,766 is: 1,259,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,628 : 866,766 = 866,766 : x
  2. Step 2: Convert to fraction form
    596,628/866,766 = 866,766/x
  3. Step 3: Cross multiply
    596,628x = 866,766 × 866,766
  4. Step 4: Simplify right side
    596,628x = 751,283,298,756
  5. Step 5: Solve for x
    x = 751,283,298,756/596,628
  6. Step 6: Final answer
    x = 1,259,215.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.