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Finding the Third Proportional to 242,212 and 532,214

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Solution

The third proportional to 242,212 and 532,214 is: 1,169,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,212 : 532,214 = 532,214 : x
  2. Step 2: Convert to fraction form
    242,212/532,214 = 532,214/x
  3. Step 3: Cross multiply
    242,212x = 532,214 × 532,214
  4. Step 4: Simplify right side
    242,212x = 283,251,741,796
  5. Step 5: Solve for x
    x = 283,251,741,796/242,212
  6. Step 6: Final answer
    x = 1,169,437.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.