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Finding the Third Proportional to 324,924 and 502,137

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Solution

The third proportional to 324,924 and 502,137 is: 776,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,924 : 502,137 = 502,137 : x
  2. Step 2: Convert to fraction form
    324,924/502,137 = 502,137/x
  3. Step 3: Cross multiply
    324,924x = 502,137 × 502,137
  4. Step 4: Simplify right side
    324,924x = 252,141,566,769
  5. Step 5: Solve for x
    x = 252,141,566,769/324,924
  6. Step 6: Final answer
    x = 776,001.67

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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.