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Finding the Third Proportional to 454.75 and 975.88

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Solution

The third proportional to 454.75 and 975.88 is: 2,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.75 : 975.88 = 975.88 : x
  2. Step 2: Convert to fraction form
    454.75/975.88 = 975.88/x
  3. Step 3: Cross multiply
    454.75x = 975.88 × 975.88
  4. Step 4: Simplify right side
    454.75x = 952,332.02
  5. Step 5: Solve for x
    x = 952,332.02/454.75
  6. Step 6: Final answer
    x = 2,094.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.