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Finding the Third Proportional to 600,712 and 839,832

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Solution

The third proportional to 600,712 and 839,832 is: 1,174,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,712 : 839,832 = 839,832 : x
  2. Step 2: Convert to fraction form
    600,712/839,832 = 839,832/x
  3. Step 3: Cross multiply
    600,712x = 839,832 × 839,832
  4. Step 4: Simplify right side
    600,712x = 705,317,788,224
  5. Step 5: Solve for x
    x = 705,317,788,224/600,712
  6. Step 6: Final answer
    x = 1,174,136.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.