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Finding the Third Proportional to 287,836.88 and 451,509.19

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Solution

The third proportional to 287,836.88 and 451,509.19 is: 708,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,836.88 : 451,509.19 = 451,509.19 : x
  2. Step 2: Convert to fraction form
    287,836.88/451,509.19 = 451,509.19/x
  3. Step 3: Cross multiply
    287,836.88x = 451,509.19 × 451,509.19
  4. Step 4: Simplify right side
    287,836.88x = 203,860,546,396.91
  5. Step 5: Solve for x
    x = 203,860,546,396.91/287,836.88
  6. Step 6: Final answer
    x = 708,250.28

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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.