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Finding the Third Proportional to 288,172.69 and 415,066.78

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Solution

The third proportional to 288,172.69 and 415,066.78 is: 597,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,172.69 : 415,066.78 = 415,066.78 : x
  2. Step 2: Convert to fraction form
    288,172.69/415,066.78 = 415,066.78/x
  3. Step 3: Cross multiply
    288,172.69x = 415,066.78 × 415,066.78
  4. Step 4: Simplify right side
    288,172.69x = 172,280,432,897.24
  5. Step 5: Solve for x
    x = 172,280,432,897.24/288,172.69
  6. Step 6: Final answer
    x = 597,837.48

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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.