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Finding the Third Proportional to 228,340.13 and 516,452.06

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Solution

The third proportional to 228,340.13 and 516,452.06 is: 1,168,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,340.13 : 516,452.06 = 516,452.06 : x
  2. Step 2: Convert to fraction form
    228,340.13/516,452.06 = 516,452.06/x
  3. Step 3: Cross multiply
    228,340.13x = 516,452.06 × 516,452.06
  4. Step 4: Simplify right side
    228,340.13x = 266,722,732,860.50
  5. Step 5: Solve for x
    x = 266,722,732,860.50/228,340.13
  6. Step 6: Final answer
    x = 1,168,094.01

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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.