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Finding the Third Proportional to 194,585 and 427,480

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Solution

The third proportional to 194,585 and 427,480 is: 939,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,585 : 427,480 = 427,480 : x
  2. Step 2: Convert to fraction form
    194,585/427,480 = 427,480/x
  3. Step 3: Cross multiply
    194,585x = 427,480 × 427,480
  4. Step 4: Simplify right side
    194,585x = 182,739,150,400
  5. Step 5: Solve for x
    x = 182,739,150,400/194,585
  6. Step 6: Final answer
    x = 939,122.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.