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Finding the Third Proportional to 442,133.44 and 666,867.94

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Solution

The third proportional to 442,133.44 and 666,867.94 is: 1,005,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,133.44 : 666,867.94 = 666,867.94 : x
  2. Step 2: Convert to fraction form
    442,133.44/666,867.94 = 666,867.94/x
  3. Step 3: Cross multiply
    442,133.44x = 666,867.94 × 666,867.94
  4. Step 4: Simplify right side
    442,133.44x = 444,712,846,065.50
  5. Step 5: Solve for x
    x = 444,712,846,065.50/442,133.44
  6. Step 6: Final answer
    x = 1,005,834.00

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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.