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Finding the Third Proportional to 516,252.75 and 1,107,237.75

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Solution

The third proportional to 516,252.75 and 1,107,237.75 is: 2,374,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,252.75 : 1,107,237.75 = 1,107,237.75 : x
  2. Step 2: Convert to fraction form
    516,252.75/1,107,237.75 = 1,107,237.75/x
  3. Step 3: Cross multiply
    516,252.75x = 1,107,237.75 × 1,107,237.75
  4. Step 4: Simplify right side
    516,252.75x = 1,225,975,435,025.06
  5. Step 5: Solve for x
    x = 1,225,975,435,025.06/516,252.75
  6. Step 6: Final answer
    x = 2,374,758.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.