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Finding the Third Proportional to 287,922.25 and 451,624.25

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Solution

The third proportional to 287,922.25 and 451,624.25 is: 708,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,922.25 : 451,624.25 = 451,624.25 : x
  2. Step 2: Convert to fraction form
    287,922.25/451,624.25 = 451,624.25/x
  3. Step 3: Cross multiply
    287,922.25x = 451,624.25 × 451,624.25
  4. Step 4: Simplify right side
    287,922.25x = 203,964,463,188.06
  5. Step 5: Solve for x
    x = 203,964,463,188.06/287,922.25
  6. Step 6: Final answer
    x = 708,401.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.