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Finding the Third Proportional to 323,031 and 481,390.50

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Solution

The third proportional to 323,031 and 481,390.50 is: 717,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,031 : 481,390.50 = 481,390.50 : x
  2. Step 2: Convert to fraction form
    323,031/481,390.50 = 481,390.50/x
  3. Step 3: Cross multiply
    323,031x = 481,390.50 × 481,390.50
  4. Step 4: Simplify right side
    323,031x = 231,736,813,490.25
  5. Step 5: Solve for x
    x = 231,736,813,490.25/323,031
  6. Step 6: Final answer
    x = 717,382.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.