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Finding the Third Proportional to 496,723 and 786,882

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Solution

The third proportional to 496,723 and 786,882 is: 1,246,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,723 : 786,882 = 786,882 : x
  2. Step 2: Convert to fraction form
    496,723/786,882 = 786,882/x
  3. Step 3: Cross multiply
    496,723x = 786,882 × 786,882
  4. Step 4: Simplify right side
    496,723x = 619,183,281,924
  5. Step 5: Solve for x
    x = 619,183,281,924/496,723
  6. Step 6: Final answer
    x = 1,246,536.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.