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Finding the Third Proportional to 513,686.25 and 818,097.75

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Solution

The third proportional to 513,686.25 and 818,097.75 is: 1,302,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,686.25 : 818,097.75 = 818,097.75 : x
  2. Step 2: Convert to fraction form
    513,686.25/818,097.75 = 818,097.75/x
  3. Step 3: Cross multiply
    513,686.25x = 818,097.75 × 818,097.75
  4. Step 4: Simplify right side
    513,686.25x = 669,283,928,555.06
  5. Step 5: Solve for x
    x = 669,283,928,555.06/513,686.25
  6. Step 6: Final answer
    x = 1,302,904.11

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.