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Finding the Third Proportional to 295,942.50 and 480,809.25

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Solution

The third proportional to 295,942.50 and 480,809.25 is: 781,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,942.50 : 480,809.25 = 480,809.25 : x
  2. Step 2: Convert to fraction form
    295,942.50/480,809.25 = 480,809.25/x
  3. Step 3: Cross multiply
    295,942.50x = 480,809.25 × 480,809.25
  4. Step 4: Simplify right side
    295,942.50x = 231,177,534,885.56
  5. Step 5: Solve for x
    x = 231,177,534,885.56/295,942.50
  6. Step 6: Final answer
    x = 781,156.93

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.