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Finding the Third Proportional to 234,316.13 and 504,231.75

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Solution

The third proportional to 234,316.13 and 504,231.75 is: 1,085,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,316.13 : 504,231.75 = 504,231.75 : x
  2. Step 2: Convert to fraction form
    234,316.13/504,231.75 = 504,231.75/x
  3. Step 3: Cross multiply
    234,316.13x = 504,231.75 × 504,231.75
  4. Step 4: Simplify right side
    234,316.13x = 254,249,657,708.06
  5. Step 5: Solve for x
    x = 254,249,657,708.06/234,316.13
  6. Step 6: Final answer
    x = 1,085,071.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.