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Finding the Third Proportional to 270,180 and 625,513.50

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Solution

The third proportional to 270,180 and 625,513.50 is: 1,448,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,180 : 625,513.50 = 625,513.50 : x
  2. Step 2: Convert to fraction form
    270,180/625,513.50 = 625,513.50/x
  3. Step 3: Cross multiply
    270,180x = 625,513.50 × 625,513.50
  4. Step 4: Simplify right side
    270,180x = 391,267,138,682.25
  5. Step 5: Solve for x
    x = 391,267,138,682.25/270,180
  6. Step 6: Final answer
    x = 1,448,172.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.