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Finding the Third Proportional to 450.09 and 975.56

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Solution

The third proportional to 450.09 and 975.56 is: 2,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.09 : 975.56 = 975.56 : x
  2. Step 2: Convert to fraction form
    450.09/975.56 = 975.56/x
  3. Step 3: Cross multiply
    450.09x = 975.56 × 975.56
  4. Step 4: Simplify right side
    450.09x = 951,722.19
  5. Step 5: Solve for x
    x = 951,722.19/450.09
  6. Step 6: Final answer
    x = 2,114.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.