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Finding the Third Proportional to 341,864 and 530,720

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Solution

The third proportional to 341,864 and 530,720 is: 823,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,864 : 530,720 = 530,720 : x
  2. Step 2: Convert to fraction form
    341,864/530,720 = 530,720/x
  3. Step 3: Cross multiply
    341,864x = 530,720 × 530,720
  4. Step 4: Simplify right side
    341,864x = 281,663,718,400
  5. Step 5: Solve for x
    x = 281,663,718,400/341,864
  6. Step 6: Final answer
    x = 823,905.76

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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.