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Finding the Third Proportional to 444,528 and 666,846

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Solution

The third proportional to 444,528 and 666,846 is: 1,000,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,528 : 666,846 = 666,846 : x
  2. Step 2: Convert to fraction form
    444,528/666,846 = 666,846/x
  3. Step 3: Cross multiply
    444,528x = 666,846 × 666,846
  4. Step 4: Simplify right side
    444,528x = 444,683,587,716
  5. Step 5: Solve for x
    x = 444,683,587,716/444,528
  6. Step 6: Final answer
    x = 1,000,350.01

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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.