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Finding the Third Proportional to 333,790.88 and 742,213.13

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Solution

The third proportional to 333,790.88 and 742,213.13 is: 1,650,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,790.88 : 742,213.13 = 742,213.13 : x
  2. Step 2: Convert to fraction form
    333,790.88/742,213.13 = 742,213.13/x
  3. Step 3: Cross multiply
    333,790.88x = 742,213.13 × 742,213.13
  4. Step 4: Simplify right side
    333,790.88x = 550,880,322,922.27
  5. Step 5: Solve for x
    x = 550,880,322,922.27/333,790.88
  6. Step 6: Final answer
    x = 1,650,375.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.