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Finding the Third Proportional to 360,699.50 and 769,651

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Solution

The third proportional to 360,699.50 and 769,651 is: 1,642,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,699.50 : 769,651 = 769,651 : x
  2. Step 2: Convert to fraction form
    360,699.50/769,651 = 769,651/x
  3. Step 3: Cross multiply
    360,699.50x = 769,651 × 769,651
  4. Step 4: Simplify right side
    360,699.50x = 592,362,661,801
  5. Step 5: Solve for x
    x = 592,362,661,801/360,699.50
  6. Step 6: Final answer
    x = 1,642,260.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.