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Finding the Third Proportional to 243,756 and 532,224

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Solution

The third proportional to 243,756 and 532,224 is: 1,162,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,756 : 532,224 = 532,224 : x
  2. Step 2: Convert to fraction form
    243,756/532,224 = 532,224/x
  3. Step 3: Cross multiply
    243,756x = 532,224 × 532,224
  4. Step 4: Simplify right side
    243,756x = 283,262,386,176
  5. Step 5: Solve for x
    x = 283,262,386,176/243,756
  6. Step 6: Final answer
    x = 1,162,073.49

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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.