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Finding the Third Proportional to 336,370 and 735,876

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Solution

The third proportional to 336,370 and 735,876 is: 1,609,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,370 : 735,876 = 735,876 : x
  2. Step 2: Convert to fraction form
    336,370/735,876 = 735,876/x
  3. Step 3: Cross multiply
    336,370x = 735,876 × 735,876
  4. Step 4: Simplify right side
    336,370x = 541,513,487,376
  5. Step 5: Solve for x
    x = 541,513,487,376/336,370
  6. Step 6: Final answer
    x = 1,609,874.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.