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Finding the Third Proportional to 444,480 and 666,768

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Solution

The third proportional to 444,480 and 666,768 is: 1,000,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,480 : 666,768 = 666,768 : x
  2. Step 2: Convert to fraction form
    444,480/666,768 = 666,768/x
  3. Step 3: Cross multiply
    444,480x = 666,768 × 666,768
  4. Step 4: Simplify right side
    444,480x = 444,579,565,824
  5. Step 5: Solve for x
    x = 444,579,565,824/444,480
  6. Step 6: Final answer
    x = 1,000,224.01

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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.