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Finding the Third Proportional to 430,341.75 and 945,610.88

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Solution

The third proportional to 430,341.75 and 945,610.88 is: 2,077,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,341.75 : 945,610.88 = 945,610.88 : x
  2. Step 2: Convert to fraction form
    430,341.75/945,610.88 = 945,610.88/x
  3. Step 3: Cross multiply
    430,341.75x = 945,610.88 × 945,610.88
  4. Step 4: Simplify right side
    430,341.75x = 894,179,926,918.27
  5. Step 5: Solve for x
    x = 894,179,926,918.27/430,341.75
  6. Step 6: Final answer
    x = 2,077,836.81

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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.