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Finding the Third Proportional to 265,943.25 and 615,022.88

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Solution

The third proportional to 265,943.25 and 615,022.88 is: 1,422,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,943.25 : 615,022.88 = 615,022.88 : x
  2. Step 2: Convert to fraction form
    265,943.25/615,022.88 = 615,022.88/x
  3. Step 3: Cross multiply
    265,943.25x = 615,022.88 × 615,022.88
  4. Step 4: Simplify right side
    265,943.25x = 378,253,136,773.27
  5. Step 5: Solve for x
    x = 378,253,136,773.27/265,943.25
  6. Step 6: Final answer
    x = 1,422,307.72

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Why These Related Problems?

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