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Finding the Third Proportional to 252,341 and 533,114

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Solution

The third proportional to 252,341 and 533,114 is: 1,126,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,341 : 533,114 = 533,114 : x
  2. Step 2: Convert to fraction form
    252,341/533,114 = 533,114/x
  3. Step 3: Cross multiply
    252,341x = 533,114 × 533,114
  4. Step 4: Simplify right side
    252,341x = 284,210,536,996
  5. Step 5: Solve for x
    x = 284,210,536,996/252,341
  6. Step 6: Final answer
    x = 1,126,295.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.