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Finding the Third Proportional to 450.09 and 974.81

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Solution

The third proportional to 450.09 and 974.81 is: 2,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.09 : 974.81 = 974.81 : x
  2. Step 2: Convert to fraction form
    450.09/974.81 = 974.81/x
  3. Step 3: Cross multiply
    450.09x = 974.81 × 974.81
  4. Step 4: Simplify right side
    450.09x = 950,259.41
  5. Step 5: Solve for x
    x = 950,259.41/450.09
  6. Step 6: Final answer
    x = 2,111.25

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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.