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Finding the Third Proportional to 419.55 and 913.15

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Solution

The third proportional to 419.55 and 913.15 is: 1,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.55 : 913.15 = 913.15 : x
  2. Step 2: Convert to fraction form
    419.55/913.15 = 913.15/x
  3. Step 3: Cross multiply
    419.55x = 913.15 × 913.15
  4. Step 4: Simplify right side
    419.55x = 833,840.07
  5. Step 5: Solve for x
    x = 833,840.07/419.55
  6. Step 6: Final answer
    x = 1,987.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.