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Finding the Third Proportional to 252,352 and 553,856

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Solution

The third proportional to 252,352 and 553,856 is: 1,215,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,352 : 553,856 = 553,856 : x
  2. Step 2: Convert to fraction form
    252,352/553,856 = 553,856/x
  3. Step 3: Cross multiply
    252,352x = 553,856 × 553,856
  4. Step 4: Simplify right side
    252,352x = 306,756,468,736
  5. Step 5: Solve for x
    x = 306,756,468,736/252,352
  6. Step 6: Final answer
    x = 1,215,589.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.