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Finding the Third Proportional to 523,648 and 800,703

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Solution

The third proportional to 523,648 and 800,703 is: 1,224,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,648 : 800,703 = 800,703 : x
  2. Step 2: Convert to fraction form
    523,648/800,703 = 800,703/x
  3. Step 3: Cross multiply
    523,648x = 800,703 × 800,703
  4. Step 4: Simplify right side
    523,648x = 641,125,294,209
  5. Step 5: Solve for x
    x = 641,125,294,209/523,648
  6. Step 6: Final answer
    x = 1,224,344.01

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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.