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Finding the Third Proportional to 267,484.50 and 415,509.75

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Solution

The third proportional to 267,484.50 and 415,509.75 is: 645,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,484.50 : 415,509.75 = 415,509.75 : x
  2. Step 2: Convert to fraction form
    267,484.50/415,509.75 = 415,509.75/x
  3. Step 3: Cross multiply
    267,484.50x = 415,509.75 × 415,509.75
  4. Step 4: Simplify right side
    267,484.50x = 172,648,352,345.06
  5. Step 5: Solve for x
    x = 172,648,352,345.06/267,484.50
  6. Step 6: Final answer
    x = 645,451.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.