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Finding the Third Proportional to 406,393.88 and 893,230.88

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Solution

The third proportional to 406,393.88 and 893,230.88 is: 1,963,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,393.88 : 893,230.88 = 893,230.88 : x
  2. Step 2: Convert to fraction form
    406,393.88/893,230.88 = 893,230.88/x
  3. Step 3: Cross multiply
    406,393.88x = 893,230.88 × 893,230.88
  4. Step 4: Simplify right side
    406,393.88x = 797,861,396,053.27
  5. Step 5: Solve for x
    x = 797,861,396,053.27/406,393.88
  6. Step 6: Final answer
    x = 1,963,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.