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Finding the Third Proportional to 360,716 and 775,699

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Solution

The third proportional to 360,716 and 775,699 is: 1,668,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,716 : 775,699 = 775,699 : x
  2. Step 2: Convert to fraction form
    360,716/775,699 = 775,699/x
  3. Step 3: Cross multiply
    360,716x = 775,699 × 775,699
  4. Step 4: Simplify right side
    360,716x = 601,708,938,601
  5. Step 5: Solve for x
    x = 601,708,938,601/360,716
  6. Step 6: Final answer
    x = 1,668,096.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.