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Finding the Third Proportional to 294,951.75 and 455,466.75

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Solution

The third proportional to 294,951.75 and 455,466.75 is: 703,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,951.75 : 455,466.75 = 455,466.75 : x
  2. Step 2: Convert to fraction form
    294,951.75/455,466.75 = 455,466.75/x
  3. Step 3: Cross multiply
    294,951.75x = 455,466.75 × 455,466.75
  4. Step 4: Simplify right side
    294,951.75x = 207,449,960,355.56
  5. Step 5: Solve for x
    x = 207,449,960,355.56/294,951.75
  6. Step 6: Final answer
    x = 703,335.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.