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Finding the Third Proportional to 798.75 and 1,041.19

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Solution

The third proportional to 798.75 and 1,041.19 is: 1,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.75 : 1,041.19 = 1,041.19 : x
  2. Step 2: Convert to fraction form
    798.75/1,041.19 = 1,041.19/x
  3. Step 3: Cross multiply
    798.75x = 1,041.19 × 1,041.19
  4. Step 4: Simplify right side
    798.75x = 1,084,071.41
  5. Step 5: Solve for x
    x = 1,084,071.41/798.75
  6. Step 6: Final answer
    x = 1,357.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.