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Finding the Third Proportional to 412,807.50 and 550,471.50

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Solution

The third proportional to 412,807.50 and 550,471.50 is: 734,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,807.50 : 550,471.50 = 550,471.50 : x
  2. Step 2: Convert to fraction form
    412,807.50/550,471.50 = 550,471.50/x
  3. Step 3: Cross multiply
    412,807.50x = 550,471.50 × 550,471.50
  4. Step 4: Simplify right side
    412,807.50x = 303,018,872,312.25
  5. Step 5: Solve for x
    x = 303,018,872,312.25/412,807.50
  6. Step 6: Final answer
    x = 734,044.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.