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Finding the Third Proportional to 336,687 and 720,072

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Solution

The third proportional to 336,687 and 720,072 is: 1,540,016.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,687 : 720,072 = 720,072 : x
  2. Step 2: Convert to fraction form
    336,687/720,072 = 720,072/x
  3. Step 3: Cross multiply
    336,687x = 720,072 × 720,072
  4. Step 4: Simplify right side
    336,687x = 518,503,685,184
  5. Step 5: Solve for x
    x = 518,503,685,184/336,687
  6. Step 6: Final answer
    x = 1,540,016.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.