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Finding the Third Proportional to 406,855.50 and 886,033.50

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Solution

The third proportional to 406,855.50 and 886,033.50 is: 1,929,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,855.50 : 886,033.50 = 886,033.50 : x
  2. Step 2: Convert to fraction form
    406,855.50/886,033.50 = 886,033.50/x
  3. Step 3: Cross multiply
    406,855.50x = 886,033.50 × 886,033.50
  4. Step 4: Simplify right side
    406,855.50x = 785,055,363,122.25
  5. Step 5: Solve for x
    x = 785,055,363,122.25/406,855.50
  6. Step 6: Final answer
    x = 1,929,568.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.