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Finding the Third Proportional to 413,809.88 and 892,924.88

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Solution

The third proportional to 413,809.88 and 892,924.88 is: 1,926,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,809.88 : 892,924.88 = 892,924.88 : x
  2. Step 2: Convert to fraction form
    413,809.88/892,924.88 = 892,924.88/x
  3. Step 3: Cross multiply
    413,809.88x = 892,924.88 × 892,924.88
  4. Step 4: Simplify right side
    413,809.88x = 797,314,832,393.77
  5. Step 5: Solve for x
    x = 797,314,832,393.77/413,809.88
  6. Step 6: Final answer
    x = 1,926,766.08

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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.