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Finding the Third Proportional to 444,703.50 and 665,838

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Solution

The third proportional to 444,703.50 and 665,838 is: 996,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,703.50 : 665,838 = 665,838 : x
  2. Step 2: Convert to fraction form
    444,703.50/665,838 = 665,838/x
  3. Step 3: Cross multiply
    444,703.50x = 665,838 × 665,838
  4. Step 4: Simplify right side
    444,703.50x = 443,340,242,244
  5. Step 5: Solve for x
    x = 443,340,242,244/444,703.50
  6. Step 6: Final answer
    x = 996,934.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.