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Finding the Third Proportional to 413,750.25 and 892,815.47

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Solution

The third proportional to 413,750.25 and 892,815.47 is: 1,926,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,750.25 : 892,815.47 = 892,815.47 : x
  2. Step 2: Convert to fraction form
    413,750.25/892,815.47 = 892,815.47/x
  3. Step 3: Cross multiply
    413,750.25x = 892,815.47 × 892,815.47
  4. Step 4: Simplify right side
    413,750.25x = 797,119,461,239.28
  5. Step 5: Solve for x
    x = 797,119,461,239.28/413,750.25
  6. Step 6: Final answer
    x = 1,926,571.55

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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.