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Finding the Third Proportional to 419.53 and 916.97

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Solution

The third proportional to 419.53 and 916.97 is: 2,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.53 : 916.97 = 916.97 : x
  2. Step 2: Convert to fraction form
    419.53/916.97 = 916.97/x
  3. Step 3: Cross multiply
    419.53x = 916.97 × 916.97
  4. Step 4: Simplify right side
    419.53x = 840,831.69
  5. Step 5: Solve for x
    x = 840,831.69/419.53
  6. Step 6: Final answer
    x = 2,004.22

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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.