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Finding the Third Proportional to 265,743.28 and 575,773.31

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Solution

The third proportional to 265,743.28 and 575,773.31 is: 1,247,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,743.28 : 575,773.31 = 575,773.31 : x
  2. Step 2: Convert to fraction form
    265,743.28/575,773.31 = 575,773.31/x
  3. Step 3: Cross multiply
    265,743.28x = 575,773.31 × 575,773.31
  4. Step 4: Simplify right side
    265,743.28x = 331,514,907,387.22
  5. Step 5: Solve for x
    x = 331,514,907,387.22/265,743.28
  6. Step 6: Final answer
    x = 1,247,500.62

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Why These Related Problems?

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