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Finding the Third Proportional to 523,659 and 800,706

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Solution

The third proportional to 523,659 and 800,706 is: 1,224,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,659 : 800,706 = 800,706 : x
  2. Step 2: Convert to fraction form
    523,659/800,706 = 800,706/x
  3. Step 3: Cross multiply
    523,659x = 800,706 × 800,706
  4. Step 4: Simplify right side
    523,659x = 641,130,098,436
  5. Step 5: Solve for x
    x = 641,130,098,436/523,659
  6. Step 6: Final answer
    x = 1,224,327.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.