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Finding the Third Proportional to 523,669 and 800,729

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Solution

The third proportional to 523,669 and 800,729 is: 1,224,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,669 : 800,729 = 800,729 : x
  2. Step 2: Convert to fraction form
    523,669/800,729 = 800,729/x
  3. Step 3: Cross multiply
    523,669x = 800,729 × 800,729
  4. Step 4: Simplify right side
    523,669x = 641,166,931,441
  5. Step 5: Solve for x
    x = 641,166,931,441/523,669
  6. Step 6: Final answer
    x = 1,224,374.43

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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.