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Finding the Third Proportional to 429,723.56 and 910,672.59

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Solution

The third proportional to 429,723.56 and 910,672.59 is: 1,929,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,723.56 : 910,672.59 = 910,672.59 : x
  2. Step 2: Convert to fraction form
    429,723.56/910,672.59 = 910,672.59/x
  3. Step 3: Cross multiply
    429,723.56x = 910,672.59 × 910,672.59
  4. Step 4: Simplify right side
    429,723.56x = 829,324,573,007.35
  5. Step 5: Solve for x
    x = 829,324,573,007.35/429,723.56
  6. Step 6: Final answer
    x = 1,929,902.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.