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Finding the Third Proportional to 341,799 and 530,612

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Solution

The third proportional to 341,799 and 530,612 is: 823,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,799 : 530,612 = 530,612 : x
  2. Step 2: Convert to fraction form
    341,799/530,612 = 530,612/x
  3. Step 3: Cross multiply
    341,799x = 530,612 × 530,612
  4. Step 4: Simplify right side
    341,799x = 281,549,094,544
  5. Step 5: Solve for x
    x = 281,549,094,544/341,799
  6. Step 6: Final answer
    x = 823,727.09

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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.