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Finding the Third Proportional to 252,864 and 537,910

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Solution

The third proportional to 252,864 and 537,910 is: 1,144,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,864 : 537,910 = 537,910 : x
  2. Step 2: Convert to fraction form
    252,864/537,910 = 537,910/x
  3. Step 3: Cross multiply
    252,864x = 537,910 × 537,910
  4. Step 4: Simplify right side
    252,864x = 289,347,168,100
  5. Step 5: Solve for x
    x = 289,347,168,100/252,864
  6. Step 6: Final answer
    x = 1,144,279.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.