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Finding the Third Proportional to 194,427 and 450,390

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Solution

The third proportional to 194,427 and 450,390 is: 1,043,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,427 : 450,390 = 450,390 : x
  2. Step 2: Convert to fraction form
    194,427/450,390 = 450,390/x
  3. Step 3: Cross multiply
    194,427x = 450,390 × 450,390
  4. Step 4: Simplify right side
    194,427x = 202,851,152,100
  5. Step 5: Solve for x
    x = 202,851,152,100/194,427
  6. Step 6: Final answer
    x = 1,043,328.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.