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Finding the Third Proportional to 341,427 and 453,064

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Solution

The third proportional to 341,427 and 453,064 is: 601,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,427 : 453,064 = 453,064 : x
  2. Step 2: Convert to fraction form
    341,427/453,064 = 453,064/x
  3. Step 3: Cross multiply
    341,427x = 453,064 × 453,064
  4. Step 4: Simplify right side
    341,427x = 205,266,988,096
  5. Step 5: Solve for x
    x = 205,266,988,096/341,427
  6. Step 6: Final answer
    x = 601,203.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.