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Finding the Third Proportional to 444,584 and 659,157

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Solution

The third proportional to 444,584 and 659,157 is: 977,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,584 : 659,157 = 659,157 : x
  2. Step 2: Convert to fraction form
    444,584/659,157 = 659,157/x
  3. Step 3: Cross multiply
    444,584x = 659,157 × 659,157
  4. Step 4: Simplify right side
    444,584x = 434,487,950,649
  5. Step 5: Solve for x
    x = 434,487,950,649/444,584
  6. Step 6: Final answer
    x = 977,291.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.