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Finding the Third Proportional to 516,022.50 and 1,165,827.75

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Solution

The third proportional to 516,022.50 and 1,165,827.75 is: 2,633,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,022.50 : 1,165,827.75 = 1,165,827.75 : x
  2. Step 2: Convert to fraction form
    516,022.50/1,165,827.75 = 1,165,827.75/x
  3. Step 3: Cross multiply
    516,022.50x = 1,165,827.75 × 1,165,827.75
  4. Step 4: Simplify right side
    516,022.50x = 1,359,154,342,670.06
  5. Step 5: Solve for x
    x = 1,359,154,342,670.06/516,022.50
  6. Step 6: Final answer
    x = 2,633,905.19

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.