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Finding the Third Proportional to 349,146 and 530,199

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Solution

The third proportional to 349,146 and 530,199 is: 805,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,146 : 530,199 = 530,199 : x
  2. Step 2: Convert to fraction form
    349,146/530,199 = 530,199/x
  3. Step 3: Cross multiply
    349,146x = 530,199 × 530,199
  4. Step 4: Simplify right side
    349,146x = 281,110,979,601
  5. Step 5: Solve for x
    x = 281,110,979,601/349,146
  6. Step 6: Final answer
    x = 805,138.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.