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Finding the Third Proportional to 403.15 and 883.14

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Solution

The third proportional to 403.15 and 883.14 is: 1,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.15 : 883.14 = 883.14 : x
  2. Step 2: Convert to fraction form
    403.15/883.14 = 883.14/x
  3. Step 3: Cross multiply
    403.15x = 883.14 × 883.14
  4. Step 4: Simplify right side
    403.15x = 779,940.81
  5. Step 5: Solve for x
    x = 779,940.81/403.15
  6. Step 6: Final answer
    x = 1,934.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.