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Finding the Third Proportional to 523,776 and 800,883

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Solution

The third proportional to 523,776 and 800,883 is: 1,224,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,776 : 800,883 = 800,883 : x
  2. Step 2: Convert to fraction form
    523,776/800,883 = 800,883/x
  3. Step 3: Cross multiply
    523,776x = 800,883 × 800,883
  4. Step 4: Simplify right side
    523,776x = 641,413,579,689
  5. Step 5: Solve for x
    x = 641,413,579,689/523,776
  6. Step 6: Final answer
    x = 1,224,595.21

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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.