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Finding the Third Proportional to 252,914 and 529,210

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Solution

The third proportional to 252,914 and 529,210 is: 1,107,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,914 : 529,210 = 529,210 : x
  2. Step 2: Convert to fraction form
    252,914/529,210 = 529,210/x
  3. Step 3: Cross multiply
    252,914x = 529,210 × 529,210
  4. Step 4: Simplify right side
    252,914x = 280,063,224,100
  5. Step 5: Solve for x
    x = 280,063,224,100/252,914
  6. Step 6: Final answer
    x = 1,107,345.68

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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.