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Finding the Third Proportional to 444,080 and 654,360

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Solution

The third proportional to 444,080 and 654,360 is: 964,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,080 : 654,360 = 654,360 : x
  2. Step 2: Convert to fraction form
    444,080/654,360 = 654,360/x
  3. Step 3: Cross multiply
    444,080x = 654,360 × 654,360
  4. Step 4: Simplify right side
    444,080x = 428,187,009,600
  5. Step 5: Solve for x
    x = 428,187,009,600/444,080
  6. Step 6: Final answer
    x = 964,211.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.