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Finding the Third Proportional to 417,177 and 910,489.50

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Solution

The third proportional to 417,177 and 910,489.50 is: 1,987,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,177 : 910,489.50 = 910,489.50 : x
  2. Step 2: Convert to fraction form
    417,177/910,489.50 = 910,489.50/x
  3. Step 3: Cross multiply
    417,177x = 910,489.50 × 910,489.50
  4. Step 4: Simplify right side
    417,177x = 828,991,129,610.25
  5. Step 5: Solve for x
    x = 828,991,129,610.25/417,177
  6. Step 6: Final answer
    x = 1,987,144.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.