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Finding the Third Proportional to 349,632 and 534,624

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Solution

The third proportional to 349,632 and 534,624 is: 817,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,632 : 534,624 = 534,624 : x
  2. Step 2: Convert to fraction form
    349,632/534,624 = 534,624/x
  3. Step 3: Cross multiply
    349,632x = 534,624 × 534,624
  4. Step 4: Simplify right side
    349,632x = 285,822,821,376
  5. Step 5: Solve for x
    x = 285,822,821,376/349,632
  6. Step 6: Final answer
    x = 817,496.17

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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.