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Finding the Third Proportional to 252,918 and 529,216

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Solution

The third proportional to 252,918 and 529,216 is: 1,107,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,918 : 529,216 = 529,216 : x
  2. Step 2: Convert to fraction form
    252,918/529,216 = 529,216/x
  3. Step 3: Cross multiply
    252,918x = 529,216 × 529,216
  4. Step 4: Simplify right side
    252,918x = 280,069,574,656
  5. Step 5: Solve for x
    x = 280,069,574,656/252,918
  6. Step 6: Final answer
    x = 1,107,353.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.