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Finding the Third Proportional to 288,111.94 and 415,006.03

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Solution

The third proportional to 288,111.94 and 415,006.03 is: 597,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,111.94 : 415,006.03 = 415,006.03 : x
  2. Step 2: Convert to fraction form
    288,111.94/415,006.03 = 415,006.03/x
  3. Step 3: Cross multiply
    288,111.94x = 415,006.03 × 415,006.03
  4. Step 4: Simplify right side
    288,111.94x = 172,230,005,973.88
  5. Step 5: Solve for x
    x = 172,230,005,973.88/288,111.94
  6. Step 6: Final answer
    x = 597,788.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.