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Finding the Third Proportional to 265,506.75 and 575,282.25

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Solution

The third proportional to 265,506.75 and 575,282.25 is: 1,246,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,506.75 : 575,282.25 = 575,282.25 : x
  2. Step 2: Convert to fraction form
    265,506.75/575,282.25 = 575,282.25/x
  3. Step 3: Cross multiply
    265,506.75x = 575,282.25 × 575,282.25
  4. Step 4: Simplify right side
    265,506.75x = 330,949,667,165.06
  5. Step 5: Solve for x
    x = 330,949,667,165.06/265,506.75
  6. Step 6: Final answer
    x = 1,246,483.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.