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Finding the Third Proportional to 430,213.13 and 888,047.25

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Solution

The third proportional to 430,213.13 and 888,047.25 is: 1,833,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,213.13 : 888,047.25 = 888,047.25 : x
  2. Step 2: Convert to fraction form
    430,213.13/888,047.25 = 888,047.25/x
  3. Step 3: Cross multiply
    430,213.13x = 888,047.25 × 888,047.25
  4. Step 4: Simplify right side
    430,213.13x = 788,627,918,232.56
  5. Step 5: Solve for x
    x = 788,627,918,232.56/430,213.13
  6. Step 6: Final answer
    x = 1,833,109.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.