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Finding the Third Proportional to 349,065 and 533,744

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Solution

The third proportional to 349,065 and 533,744 is: 816,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,065 : 533,744 = 533,744 : x
  2. Step 2: Convert to fraction form
    349,065/533,744 = 533,744/x
  3. Step 3: Cross multiply
    349,065x = 533,744 × 533,744
  4. Step 4: Simplify right side
    349,065x = 284,882,657,536
  5. Step 5: Solve for x
    x = 284,882,657,536/349,065
  6. Step 6: Final answer
    x = 816,130.68

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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.