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Finding the Third Proportional to 270,245.25 and 625,545

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Solution

The third proportional to 270,245.25 and 625,545 is: 1,447,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,245.25 : 625,545 = 625,545 : x
  2. Step 2: Convert to fraction form
    270,245.25/625,545 = 625,545/x
  3. Step 3: Cross multiply
    270,245.25x = 625,545 × 625,545
  4. Step 4: Simplify right side
    270,245.25x = 391,306,547,025
  5. Step 5: Solve for x
    x = 391,306,547,025/270,245.25
  6. Step 6: Final answer
    x = 1,447,968.27

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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.