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Finding the Third Proportional to 802.88 and 1,245.94

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Solution

The third proportional to 802.88 and 1,245.94 is: 1,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.88 : 1,245.94 = 1,245.94 : x
  2. Step 2: Convert to fraction form
    802.88/1,245.94 = 1,245.94/x
  3. Step 3: Cross multiply
    802.88x = 1,245.94 × 1,245.94
  4. Step 4: Simplify right side
    802.88x = 1,552,360.25
  5. Step 5: Solve for x
    x = 1,552,360.25/802.88
  6. Step 6: Final answer
    x = 1,933.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.