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Finding the Third Proportional to 225,540 and 534,312

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Solution

The third proportional to 225,540 and 534,312 is: 1,265,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,540 : 534,312 = 534,312 : x
  2. Step 2: Convert to fraction form
    225,540/534,312 = 534,312/x
  3. Step 3: Cross multiply
    225,540x = 534,312 × 534,312
  4. Step 4: Simplify right side
    225,540x = 285,489,313,344
  5. Step 5: Solve for x
    x = 285,489,313,344/225,540
  6. Step 6: Final answer
    x = 1,265,803.46

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.