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Finding the Third Proportional to 332,424 and 720,576

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Solution

The third proportional to 332,424 and 720,576 is: 1,561,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,424 : 720,576 = 720,576 : x
  2. Step 2: Convert to fraction form
    332,424/720,576 = 720,576/x
  3. Step 3: Cross multiply
    332,424x = 720,576 × 720,576
  4. Step 4: Simplify right side
    332,424x = 519,229,771,776
  5. Step 5: Solve for x
    x = 519,229,771,776/332,424
  6. Step 6: Final answer
    x = 1,561,950.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.