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Finding the Third Proportional to 608,350.50 and 1,408,291.31

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Solution

The third proportional to 608,350.50 and 1,408,291.31 is: 3,260,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,350.50 : 1,408,291.31 = 1,408,291.31 : x
  2. Step 2: Convert to fraction form
    608,350.50/1,408,291.31 = 1,408,291.31/x
  3. Step 3: Cross multiply
    608,350.50x = 1,408,291.31 × 1,408,291.31
  4. Step 4: Simplify right side
    608,350.50x = 1,983,284,420,862.97
  5. Step 5: Solve for x
    x = 1,983,284,420,862.97/608,350.50
  6. Step 6: Final answer
    x = 3,260,101.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.