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Finding the Third Proportional to 349,105.13 and 533,803.13

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Solution

The third proportional to 349,105.13 and 533,803.13 is: 816,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,105.13 : 533,803.13 = 533,803.13 : x
  2. Step 2: Convert to fraction form
    349,105.13/533,803.13 = 533,803.13/x
  3. Step 3: Cross multiply
    349,105.13x = 533,803.13 × 533,803.13
  4. Step 4: Simplify right side
    349,105.13x = 284,945,776,259.77
  5. Step 5: Solve for x
    x = 284,945,776,259.77/349,105.13
  6. Step 6: Final answer
    x = 816,217.68

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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.