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Finding the Third Proportional to 699.19 and 1,054.41

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Solution

The third proportional to 699.19 and 1,054.41 is: 1,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.19 : 1,054.41 = 1,054.41 : x
  2. Step 2: Convert to fraction form
    699.19/1,054.41 = 1,054.41/x
  3. Step 3: Cross multiply
    699.19x = 1,054.41 × 1,054.41
  4. Step 4: Simplify right side
    699.19x = 1,111,772.54
  5. Step 5: Solve for x
    x = 1,111,772.54/699.19
  6. Step 6: Final answer
    x = 1,590.09

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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.