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Finding the Third Proportional to 330,744.19 and 717,499.88

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Solution

The third proportional to 330,744.19 and 717,499.88 is: 1,556,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,744.19 : 717,499.88 = 717,499.88 : x
  2. Step 2: Convert to fraction form
    330,744.19/717,499.88 = 717,499.88/x
  3. Step 3: Cross multiply
    330,744.19x = 717,499.88 × 717,499.88
  4. Step 4: Simplify right side
    330,744.19x = 514,806,070,625.02
  5. Step 5: Solve for x
    x = 514,806,070,625.02/330,744.19
  6. Step 6: Final answer
    x = 1,556,508.29

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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.