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Finding the Third Proportional to 417,008 and 910,481.50

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Solution

The third proportional to 417,008 and 910,481.50 is: 1,987,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,008 : 910,481.50 = 910,481.50 : x
  2. Step 2: Convert to fraction form
    417,008/910,481.50 = 910,481.50/x
  3. Step 3: Cross multiply
    417,008x = 910,481.50 × 910,481.50
  4. Step 4: Simplify right side
    417,008x = 828,976,561,842.25
  5. Step 5: Solve for x
    x = 828,976,561,842.25/417,008
  6. Step 6: Final answer
    x = 1,987,915.25

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