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Finding the Third Proportional to 328,624 and 529,079

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Solution

The third proportional to 328,624 and 529,079 is: 851,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,624 : 529,079 = 529,079 : x
  2. Step 2: Convert to fraction form
    328,624/529,079 = 529,079/x
  3. Step 3: Cross multiply
    328,624x = 529,079 × 529,079
  4. Step 4: Simplify right side
    328,624x = 279,924,588,241
  5. Step 5: Solve for x
    x = 279,924,588,241/328,624
  6. Step 6: Final answer
    x = 851,808.11

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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.