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Finding the Third Proportional to 349,252.13 and 533,901.94

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Solution

The third proportional to 349,252.13 and 533,901.94 is: 816,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,252.13 : 533,901.94 = 533,901.94 : x
  2. Step 2: Convert to fraction form
    349,252.13/533,901.94 = 533,901.94/x
  3. Step 3: Cross multiply
    349,252.13x = 533,901.94 × 533,901.94
  4. Step 4: Simplify right side
    349,252.13x = 285,051,278,866.25
  5. Step 5: Solve for x
    x = 285,051,278,866.25/349,252.13
  6. Step 6: Final answer
    x = 816,176.22

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Why These Related Problems?

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