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Finding the Third Proportional to 240,207.75 and 556,022.25

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Solution

The third proportional to 240,207.75 and 556,022.25 is: 1,287,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,207.75 : 556,022.25 = 556,022.25 : x
  2. Step 2: Convert to fraction form
    240,207.75/556,022.25 = 556,022.25/x
  3. Step 3: Cross multiply
    240,207.75x = 556,022.25 × 556,022.25
  4. Step 4: Simplify right side
    240,207.75x = 309,160,742,495.06
  5. Step 5: Solve for x
    x = 309,160,742,495.06/240,207.75
  6. Step 6: Final answer
    x = 1,287,055.65

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.