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Finding the Third Proportional to 660,610.69 and 759,025.69

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Solution

The third proportional to 660,610.69 and 759,025.69 is: 872,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,610.69 : 759,025.69 = 759,025.69 : x
  2. Step 2: Convert to fraction form
    660,610.69/759,025.69 = 759,025.69/x
  3. Step 3: Cross multiply
    660,610.69x = 759,025.69 × 759,025.69
  4. Step 4: Simplify right side
    660,610.69x = 576,119,994,284.85
  5. Step 5: Solve for x
    x = 576,119,994,284.85/660,610.69
  6. Step 6: Final answer
    x = 872,102.14

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.