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Finding the Third Proportional to 434,832 and 600,840

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Solution

The third proportional to 434,832 and 600,840 is: 830,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,832 : 600,840 = 600,840 : x
  2. Step 2: Convert to fraction form
    434,832/600,840 = 600,840/x
  3. Step 3: Cross multiply
    434,832x = 600,840 × 600,840
  4. Step 4: Simplify right side
    434,832x = 361,008,705,600
  5. Step 5: Solve for x
    x = 361,008,705,600/434,832
  6. Step 6: Final answer
    x = 830,225.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.