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Finding the Third Proportional to 349,260.75 and 533,913.75

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Solution

The third proportional to 349,260.75 and 533,913.75 is: 816,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,260.75 : 533,913.75 = 533,913.75 : x
  2. Step 2: Convert to fraction form
    349,260.75/533,913.75 = 533,913.75/x
  3. Step 3: Cross multiply
    349,260.75x = 533,913.75 × 533,913.75
  4. Step 4: Simplify right side
    349,260.75x = 285,063,892,439.06
  5. Step 5: Solve for x
    x = 285,063,892,439.06/349,260.75
  6. Step 6: Final answer
    x = 816,192.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.