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Finding the Third Proportional to 523,653 and 800,712

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Solution

The third proportional to 523,653 and 800,712 is: 1,224,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,653 : 800,712 = 800,712 : x
  2. Step 2: Convert to fraction form
    523,653/800,712 = 800,712/x
  3. Step 3: Cross multiply
    523,653x = 800,712 × 800,712
  4. Step 4: Simplify right side
    523,653x = 641,139,706,944
  5. Step 5: Solve for x
    x = 641,139,706,944/523,653
  6. Step 6: Final answer
    x = 1,224,359.85

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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.