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Finding the Third Proportional to 473.93 and 985.71

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Solution

The third proportional to 473.93 and 985.71 is: 2,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.93 : 985.71 = 985.71 : x
  2. Step 2: Convert to fraction form
    473.93/985.71 = 985.71/x
  3. Step 3: Cross multiply
    473.93x = 985.71 × 985.71
  4. Step 4: Simplify right side
    473.93x = 971,627.68
  5. Step 5: Solve for x
    x = 971,627.68/473.93
  6. Step 6: Final answer
    x = 2,050.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.