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Finding the Third Proportional to 798.19 and 883.69

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Solution

The third proportional to 798.19 and 883.69 is: 978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.19 : 883.69 = 883.69 : x
  2. Step 2: Convert to fraction form
    798.19/883.69 = 883.69/x
  3. Step 3: Cross multiply
    798.19x = 883.69 × 883.69
  4. Step 4: Simplify right side
    798.19x = 780,903.60
  5. Step 5: Solve for x
    x = 780,903.60/798.19
  6. Step 6: Final answer
    x = 978.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.