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Finding the Third Proportional to 328,626 and 529,082

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Solution

The third proportional to 328,626 and 529,082 is: 851,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,626 : 529,082 = 529,082 : x
  2. Step 2: Convert to fraction form
    328,626/529,082 = 529,082/x
  3. Step 3: Cross multiply
    328,626x = 529,082 × 529,082
  4. Step 4: Simplify right side
    328,626x = 279,927,762,724
  5. Step 5: Solve for x
    x = 279,927,762,724/328,626
  6. Step 6: Final answer
    x = 851,812.59

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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.