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Finding the Third Proportional to 496,753 and 787,881

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Solution

The third proportional to 496,753 and 787,881 is: 1,249,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,753 : 787,881 = 787,881 : x
  2. Step 2: Convert to fraction form
    496,753/787,881 = 787,881/x
  3. Step 3: Cross multiply
    496,753x = 787,881 × 787,881
  4. Step 4: Simplify right side
    496,753x = 620,756,470,161
  5. Step 5: Solve for x
    x = 620,756,470,161/496,753
  6. Step 6: Final answer
    x = 1,249,628.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.