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Finding the Third Proportional to 194,052 and 417,614

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Solution

The third proportional to 194,052 and 417,614 is: 898,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,052 : 417,614 = 417,614 : x
  2. Step 2: Convert to fraction form
    194,052/417,614 = 417,614/x
  3. Step 3: Cross multiply
    194,052x = 417,614 × 417,614
  4. Step 4: Simplify right side
    194,052x = 174,401,452,996
  5. Step 5: Solve for x
    x = 174,401,452,996/194,052
  6. Step 6: Final answer
    x = 898,735.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.