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Finding the Third Proportional to 474,244.50 and 723,184.50

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Solution

The third proportional to 474,244.50 and 723,184.50 is: 1,102,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,244.50 : 723,184.50 = 723,184.50 : x
  2. Step 2: Convert to fraction form
    474,244.50/723,184.50 = 723,184.50/x
  3. Step 3: Cross multiply
    474,244.50x = 723,184.50 × 723,184.50
  4. Step 4: Simplify right side
    474,244.50x = 522,995,821,040.25
  5. Step 5: Solve for x
    x = 522,995,821,040.25/474,244.50
  6. Step 6: Final answer
    x = 1,102,797.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.