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Finding the Third Proportional to 252,212 and 553,564

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Solution

The third proportional to 252,212 and 553,564 is: 1,214,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,212 : 553,564 = 553,564 : x
  2. Step 2: Convert to fraction form
    252,212/553,564 = 553,564/x
  3. Step 3: Cross multiply
    252,212x = 553,564 × 553,564
  4. Step 4: Simplify right side
    252,212x = 306,433,102,096
  5. Step 5: Solve for x
    x = 306,433,102,096/252,212
  6. Step 6: Final answer
    x = 1,214,982.25

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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.