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Finding the Third Proportional to 341,736 and 530,510

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Solution

The third proportional to 341,736 and 530,510 is: 823,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,736 : 530,510 = 530,510 : x
  2. Step 2: Convert to fraction form
    341,736/530,510 = 530,510/x
  3. Step 3: Cross multiply
    341,736x = 530,510 × 530,510
  4. Step 4: Simplify right side
    341,736x = 281,440,860,100
  5. Step 5: Solve for x
    x = 281,440,860,100/341,736
  6. Step 6: Final answer
    x = 823,562.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.