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Finding the Third Proportional to 319,676.25 and 532,717.88

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Solution

The third proportional to 319,676.25 and 532,717.88 is: 887,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,676.25 : 532,717.88 = 532,717.88 : x
  2. Step 2: Convert to fraction form
    319,676.25/532,717.88 = 532,717.88/x
  3. Step 3: Cross multiply
    319,676.25x = 532,717.88 × 532,717.88
  4. Step 4: Simplify right side
    319,676.25x = 283,788,334,344.52
  5. Step 5: Solve for x
    x = 283,788,334,344.52/319,676.25
  6. Step 6: Final answer
    x = 887,736.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.