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Finding the Third Proportional to 324,187 and 520,877

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Solution

The third proportional to 324,187 and 520,877 is: 836,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,187 : 520,877 = 520,877 : x
  2. Step 2: Convert to fraction form
    324,187/520,877 = 520,877/x
  3. Step 3: Cross multiply
    324,187x = 520,877 × 520,877
  4. Step 4: Simplify right side
    324,187x = 271,312,849,129
  5. Step 5: Solve for x
    x = 271,312,849,129/324,187
  6. Step 6: Final answer
    x = 836,902.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.