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Finding the Third Proportional to 406,231.13 and 880,259.25

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Solution

The third proportional to 406,231.13 and 880,259.25 is: 1,907,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,231.13 : 880,259.25 = 880,259.25 : x
  2. Step 2: Convert to fraction form
    406,231.13/880,259.25 = 880,259.25/x
  3. Step 3: Cross multiply
    406,231.13x = 880,259.25 × 880,259.25
  4. Step 4: Simplify right side
    406,231.13x = 774,856,347,210.56
  5. Step 5: Solve for x
    x = 774,856,347,210.56/406,231.13
  6. Step 6: Final answer
    x = 1,907,427.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.