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Finding the Third Proportional to 270,074.25 and 588,746.25

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Solution

The third proportional to 270,074.25 and 588,746.25 is: 1,283,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,074.25 : 588,746.25 = 588,746.25 : x
  2. Step 2: Convert to fraction form
    270,074.25/588,746.25 = 588,746.25/x
  3. Step 3: Cross multiply
    270,074.25x = 588,746.25 × 588,746.25
  4. Step 4: Simplify right side
    270,074.25x = 346,622,146,889.06
  5. Step 5: Solve for x
    x = 346,622,146,889.06/270,074.25
  6. Step 6: Final answer
    x = 1,283,432.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.