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Finding the Third Proportional to 341,966 and 530,820

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Solution

The third proportional to 341,966 and 530,820 is: 823,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,966 : 530,820 = 530,820 : x
  2. Step 2: Convert to fraction form
    341,966/530,820 = 530,820/x
  3. Step 3: Cross multiply
    341,966x = 530,820 × 530,820
  4. Step 4: Simplify right side
    341,966x = 281,769,872,400
  5. Step 5: Solve for x
    x = 281,769,872,400/341,966
  6. Step 6: Final answer
    x = 823,970.43

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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.