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Finding the Third Proportional to 551,666.25 and 1,190,419.50

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Solution

The third proportional to 551,666.25 and 1,190,419.50 is: 2,568,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,666.25 : 1,190,419.50 = 1,190,419.50 : x
  2. Step 2: Convert to fraction form
    551,666.25/1,190,419.50 = 1,190,419.50/x
  3. Step 3: Cross multiply
    551,666.25x = 1,190,419.50 × 1,190,419.50
  4. Step 4: Simplify right side
    551,666.25x = 1,417,098,585,980.25
  5. Step 5: Solve for x
    x = 1,417,098,585,980.25/551,666.25
  6. Step 6: Final answer
    x = 2,568,760.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.