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Finding the Third Proportional to 336,576 and 720,447

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Solution

The third proportional to 336,576 and 720,447 is: 1,542,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,576 : 720,447 = 720,447 : x
  2. Step 2: Convert to fraction form
    336,576/720,447 = 720,447/x
  3. Step 3: Cross multiply
    336,576x = 720,447 × 720,447
  4. Step 4: Simplify right side
    336,576x = 519,043,879,809
  5. Step 5: Solve for x
    x = 519,043,879,809/336,576
  6. Step 6: Final answer
    x = 1,542,129.80

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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.