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Finding the Third Proportional to 512,372 and 818,526

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Solution

The third proportional to 512,372 and 818,526 is: 1,307,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,372 : 818,526 = 818,526 : x
  2. Step 2: Convert to fraction form
    512,372/818,526 = 818,526/x
  3. Step 3: Cross multiply
    512,372x = 818,526 × 818,526
  4. Step 4: Simplify right side
    512,372x = 669,984,812,676
  5. Step 5: Solve for x
    x = 669,984,812,676/512,372
  6. Step 6: Final answer
    x = 1,307,614.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.