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Finding the Third Proportional to 444,378 and 670,489.50

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Solution

The third proportional to 444,378 and 670,489.50 is: 1,011,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,378 : 670,489.50 = 670,489.50 : x
  2. Step 2: Convert to fraction form
    444,378/670,489.50 = 670,489.50/x
  3. Step 3: Cross multiply
    444,378x = 670,489.50 × 670,489.50
  4. Step 4: Simplify right side
    444,378x = 449,556,169,610.25
  5. Step 5: Solve for x
    x = 449,556,169,610.25/444,378
  6. Step 6: Final answer
    x = 1,011,652.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.