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Finding the Third Proportional to 522,351.50 and 787,719

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Solution

The third proportional to 522,351.50 and 787,719 is: 1,187,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,351.50 : 787,719 = 787,719 : x
  2. Step 2: Convert to fraction form
    522,351.50/787,719 = 787,719/x
  3. Step 3: Cross multiply
    522,351.50x = 787,719 × 787,719
  4. Step 4: Simplify right side
    522,351.50x = 620,501,222,961
  5. Step 5: Solve for x
    x = 620,501,222,961/522,351.50
  6. Step 6: Final answer
    x = 1,187,899.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.