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Finding the Third Proportional to 406,229.75 and 880,256.50

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Solution

The third proportional to 406,229.75 and 880,256.50 is: 1,907,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,229.75 : 880,256.50 = 880,256.50 : x
  2. Step 2: Convert to fraction form
    406,229.75/880,256.50 = 880,256.50/x
  3. Step 3: Cross multiply
    406,229.75x = 880,256.50 × 880,256.50
  4. Step 4: Simplify right side
    406,229.75x = 774,851,505,792.25
  5. Step 5: Solve for x
    x = 774,851,505,792.25/406,229.75
  6. Step 6: Final answer
    x = 1,907,421.86

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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.