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Finding the Third Proportional to 335,206.31 and 733,078.50

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Solution

The third proportional to 335,206.31 and 733,078.50 is: 1,603,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,206.31 : 733,078.50 = 733,078.50 : x
  2. Step 2: Convert to fraction form
    335,206.31/733,078.50 = 733,078.50/x
  3. Step 3: Cross multiply
    335,206.31x = 733,078.50 × 733,078.50
  4. Step 4: Simplify right side
    335,206.31x = 537,404,087,162.25
  5. Step 5: Solve for x
    x = 537,404,087,162.25/335,206.31
  6. Step 6: Final answer
    x = 1,603,203.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.