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Finding the Third Proportional to 978.75 and 2,303.44

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Solution

The third proportional to 978.75 and 2,303.44 is: 5,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.75 : 2,303.44 = 2,303.44 : x
  2. Step 2: Convert to fraction form
    978.75/2,303.44 = 2,303.44/x
  3. Step 3: Cross multiply
    978.75x = 2,303.44 × 2,303.44
  4. Step 4: Simplify right side
    978.75x = 5,305,824.32
  5. Step 5: Solve for x
    x = 5,305,824.32/978.75
  6. Step 6: Final answer
    x = 5,421.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.