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Finding the Third Proportional to 349,636 and 534,630

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Solution

The third proportional to 349,636 and 534,630 is: 817,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,636 : 534,630 = 534,630 : x
  2. Step 2: Convert to fraction form
    349,636/534,630 = 534,630/x
  3. Step 3: Cross multiply
    349,636x = 534,630 × 534,630
  4. Step 4: Simplify right side
    349,636x = 285,829,236,900
  5. Step 5: Solve for x
    x = 285,829,236,900/349,636
  6. Step 6: Final answer
    x = 817,505.17

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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.