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Finding the Third Proportional to 444,476 and 706,078

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Solution

The third proportional to 444,476 and 706,078 is: 1,121,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,476 : 706,078 = 706,078 : x
  2. Step 2: Convert to fraction form
    444,476/706,078 = 706,078/x
  3. Step 3: Cross multiply
    444,476x = 706,078 × 706,078
  4. Step 4: Simplify right side
    444,476x = 498,546,142,084
  5. Step 5: Solve for x
    x = 498,546,142,084/444,476
  6. Step 6: Final answer
    x = 1,121,649.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.