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Finding the Third Proportional to 349,847.86 and 734,945.91

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Solution

The third proportional to 349,847.86 and 734,945.91 is: 1,543,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,847.86 : 734,945.91 = 734,945.91 : x
  2. Step 2: Convert to fraction form
    349,847.86/734,945.91 = 734,945.91/x
  3. Step 3: Cross multiply
    349,847.86x = 734,945.91 × 734,945.91
  4. Step 4: Simplify right side
    349,847.86x = 540,145,485,113.63
  5. Step 5: Solve for x
    x = 540,145,485,113.63/349,847.86
  6. Step 6: Final answer
    x = 1,543,943.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.