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Finding the Third Proportional to 471.13 and 1,007.38

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Solution

The third proportional to 471.13 and 1,007.38 is: 2,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.13 : 1,007.38 = 1,007.38 : x
  2. Step 2: Convert to fraction form
    471.13/1,007.38 = 1,007.38/x
  3. Step 3: Cross multiply
    471.13x = 1,007.38 × 1,007.38
  4. Step 4: Simplify right side
    471.13x = 1,014,804.39
  5. Step 5: Solve for x
    x = 1,014,804.39/471.13
  6. Step 6: Final answer
    x = 2,154.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.