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Finding the Third Proportional to 324,842 and 502,030

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Solution

The third proportional to 324,842 and 502,030 is: 775,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,842 : 502,030 = 502,030 : x
  2. Step 2: Convert to fraction form
    324,842/502,030 = 502,030/x
  3. Step 3: Cross multiply
    324,842x = 502,030 × 502,030
  4. Step 4: Simplify right side
    324,842x = 252,034,120,900
  5. Step 5: Solve for x
    x = 252,034,120,900/324,842
  6. Step 6: Final answer
    x = 775,866.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.