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Finding the Third Proportional to 450.47 and 972.94

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Solution

The third proportional to 450.47 and 972.94 is: 2,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.47 : 972.94 = 972.94 : x
  2. Step 2: Convert to fraction form
    450.47/972.94 = 972.94/x
  3. Step 3: Cross multiply
    450.47x = 972.94 × 972.94
  4. Step 4: Simplify right side
    450.47x = 946,607.38
  5. Step 5: Solve for x
    x = 946,607.38/450.47
  6. Step 6: Final answer
    x = 2,101.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.