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Finding the Third Proportional to 324,772 and 510,141

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Solution

The third proportional to 324,772 and 510,141 is: 801,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,772 : 510,141 = 510,141 : x
  2. Step 2: Convert to fraction form
    324,772/510,141 = 510,141/x
  3. Step 3: Cross multiply
    324,772x = 510,141 × 510,141
  4. Step 4: Simplify right side
    324,772x = 260,243,839,881
  5. Step 5: Solve for x
    x = 260,243,839,881/324,772
  6. Step 6: Final answer
    x = 801,312.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.