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Finding the Third Proportional to 523,926 and 800,931

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Solution

The third proportional to 523,926 and 800,931 is: 1,224,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,926 : 800,931 = 800,931 : x
  2. Step 2: Convert to fraction form
    523,926/800,931 = 800,931/x
  3. Step 3: Cross multiply
    523,926x = 800,931 × 800,931
  4. Step 4: Simplify right side
    523,926x = 641,490,466,761
  5. Step 5: Solve for x
    x = 641,490,466,761/523,926
  6. Step 6: Final answer
    x = 1,224,391.36

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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.