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Finding the Third Proportional to 412,264.69 and 630,658.13

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Solution

The third proportional to 412,264.69 and 630,658.13 is: 964,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,264.69 : 630,658.13 = 630,658.13 : x
  2. Step 2: Convert to fraction form
    412,264.69/630,658.13 = 630,658.13/x
  3. Step 3: Cross multiply
    412,264.69x = 630,658.13 × 630,658.13
  4. Step 4: Simplify right side
    412,264.69x = 397,729,670,628.52
  5. Step 5: Solve for x
    x = 397,729,670,628.52/412,264.69
  6. Step 6: Final answer
    x = 964,743.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.