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Finding the Third Proportional to 349,616 and 534,616

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Solution

The third proportional to 349,616 and 534,616 is: 817,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,616 : 534,616 = 534,616 : x
  2. Step 2: Convert to fraction form
    349,616/534,616 = 534,616/x
  3. Step 3: Cross multiply
    349,616x = 534,616 × 534,616
  4. Step 4: Simplify right side
    349,616x = 285,814,267,456
  5. Step 5: Solve for x
    x = 285,814,267,456/349,616
  6. Step 6: Final answer
    x = 817,509.12

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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.