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Finding the Third Proportional to 336,700 and 720,691

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Solution

The third proportional to 336,700 and 720,691 is: 1,542,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,700 : 720,691 = 720,691 : x
  2. Step 2: Convert to fraction form
    336,700/720,691 = 720,691/x
  3. Step 3: Cross multiply
    336,700x = 720,691 × 720,691
  4. Step 4: Simplify right side
    336,700x = 519,395,517,481
  5. Step 5: Solve for x
    x = 519,395,517,481/336,700
  6. Step 6: Final answer
    x = 1,542,606.23

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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.