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Finding the Third Proportional to 217,963.13 and 477,975.38

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Solution

The third proportional to 217,963.13 and 477,975.38 is: 1,048,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,963.13 : 477,975.38 = 477,975.38 : x
  2. Step 2: Convert to fraction form
    217,963.13/477,975.38 = 477,975.38/x
  3. Step 3: Cross multiply
    217,963.13x = 477,975.38 × 477,975.38
  4. Step 4: Simplify right side
    217,963.13x = 228,460,459,106.39
  5. Step 5: Solve for x
    x = 228,460,459,106.39/217,963.13
  6. Step 6: Final answer
    x = 1,048,161.06

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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.