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Finding the Third Proportional to 779,025.75 and 1,165,426.50

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Solution

The third proportional to 779,025.75 and 1,165,426.50 is: 1,743,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,025.75 : 1,165,426.50 = 1,165,426.50 : x
  2. Step 2: Convert to fraction form
    779,025.75/1,165,426.50 = 1,165,426.50/x
  3. Step 3: Cross multiply
    779,025.75x = 1,165,426.50 × 1,165,426.50
  4. Step 4: Simplify right side
    779,025.75x = 1,358,218,926,902.25
  5. Step 5: Solve for x
    x = 1,358,218,926,902.25/779,025.75
  6. Step 6: Final answer
    x = 1,743,484.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.