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Finding the Third Proportional to 802.83 and 1,333.55

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Solution

The third proportional to 802.83 and 1,333.55 is: 2,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.83 : 1,333.55 = 1,333.55 : x
  2. Step 2: Convert to fraction form
    802.83/1,333.55 = 1,333.55/x
  3. Step 3: Cross multiply
    802.83x = 1,333.55 × 1,333.55
  4. Step 4: Simplify right side
    802.83x = 1,778,347.27
  5. Step 5: Solve for x
    x = 1,778,347.27/802.83
  6. Step 6: Final answer
    x = 2,215.10

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.