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Finding the Third Proportional to 288,476.44 and 478,801.13

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Solution

The third proportional to 288,476.44 and 478,801.13 is: 794,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,476.44 : 478,801.13 = 478,801.13 : x
  2. Step 2: Convert to fraction form
    288,476.44/478,801.13 = 478,801.13/x
  3. Step 3: Cross multiply
    288,476.44x = 478,801.13 × 478,801.13
  4. Step 4: Simplify right side
    288,476.44x = 229,250,517,301.27
  5. Step 5: Solve for x
    x = 229,250,517,301.27/288,476.44
  6. Step 6: Final answer
    x = 794,694.08

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.