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Finding the Third Proportional to 802.69 and 924.19

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Solution

The third proportional to 802.69 and 924.19 is: 1,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.69 : 924.19 = 924.19 : x
  2. Step 2: Convert to fraction form
    802.69/924.19 = 924.19/x
  3. Step 3: Cross multiply
    802.69x = 924.19 × 924.19
  4. Step 4: Simplify right side
    802.69x = 854,122.54
  5. Step 5: Solve for x
    x = 854,122.54/802.69
  6. Step 6: Final answer
    x = 1,064.08

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.