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Finding the Third Proportional to 445,678.88 and 960,658.31

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Solution

The third proportional to 445,678.88 and 960,658.31 is: 2,070,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,678.88 : 960,658.31 = 960,658.31 : x
  2. Step 2: Convert to fraction form
    445,678.88/960,658.31 = 960,658.31/x
  3. Step 3: Cross multiply
    445,678.88x = 960,658.31 × 960,658.31
  4. Step 4: Simplify right side
    445,678.88x = 922,864,393,375.35
  5. Step 5: Solve for x
    x = 922,864,393,375.35/445,678.88
  6. Step 6: Final answer
    x = 2,070,693.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.