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Finding the Third Proportional to 802.83 and 1,206.77

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Solution

The third proportional to 802.83 and 1,206.77 is: 1,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.83 : 1,206.77 = 1,206.77 : x
  2. Step 2: Convert to fraction form
    802.83/1,206.77 = 1,206.77/x
  3. Step 3: Cross multiply
    802.83x = 1,206.77 × 1,206.77
  4. Step 4: Simplify right side
    802.83x = 1,456,302.13
  5. Step 5: Solve for x
    x = 1,456,302.13/802.83
  6. Step 6: Final answer
    x = 1,813.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.