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Finding the Third Proportional to 847.83 and 1,283.77

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Solution

The third proportional to 847.83 and 1,283.77 is: 1,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.83 : 1,283.77 = 1,283.77 : x
  2. Step 2: Convert to fraction form
    847.83/1,283.77 = 1,283.77/x
  3. Step 3: Cross multiply
    847.83x = 1,283.77 × 1,283.77
  4. Step 4: Simplify right side
    847.83x = 1,648,054.18
  5. Step 5: Solve for x
    x = 1,648,054.18/847.83
  6. Step 6: Final answer
    x = 1,943.85

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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.