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Finding the Third Proportional to 330,833.25 and 717,662.25

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Solution

The third proportional to 330,833.25 and 717,662.25 is: 1,556,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,833.25 : 717,662.25 = 717,662.25 : x
  2. Step 2: Convert to fraction form
    330,833.25/717,662.25 = 717,662.25/x
  3. Step 3: Cross multiply
    330,833.25x = 717,662.25 × 717,662.25
  4. Step 4: Simplify right side
    330,833.25x = 515,039,105,075.06
  5. Step 5: Solve for x
    x = 515,039,105,075.06/330,833.25
  6. Step 6: Final answer
    x = 1,556,793.66

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Why These Related Problems?

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