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Finding the Third Proportional to 330,828 and 717,655.50

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Solution

The third proportional to 330,828 and 717,655.50 is: 1,556,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,828 : 717,655.50 = 717,655.50 : x
  2. Step 2: Convert to fraction form
    330,828/717,655.50 = 717,655.50/x
  3. Step 3: Cross multiply
    330,828x = 717,655.50 × 717,655.50
  4. Step 4: Simplify right side
    330,828x = 515,029,416,680.25
  5. Step 5: Solve for x
    x = 515,029,416,680.25/330,828
  6. Step 6: Final answer
    x = 1,556,789.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.