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Finding the Third Proportional to 361,148.63 and 536,523.75

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Solution

The third proportional to 361,148.63 and 536,523.75 is: 797,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,148.63 : 536,523.75 = 536,523.75 : x
  2. Step 2: Convert to fraction form
    361,148.63/536,523.75 = 536,523.75/x
  3. Step 3: Cross multiply
    361,148.63x = 536,523.75 × 536,523.75
  4. Step 4: Simplify right side
    361,148.63x = 287,857,734,314.06
  5. Step 5: Solve for x
    x = 287,857,734,314.06/361,148.63
  6. Step 6: Final answer
    x = 797,061.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.