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Finding the Third Proportional to 595,891.69 and 882,249.47

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Solution

The third proportional to 595,891.69 and 882,249.47 is: 1,306,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,891.69 : 882,249.47 = 882,249.47 : x
  2. Step 2: Convert to fraction form
    595,891.69/882,249.47 = 882,249.47/x
  3. Step 3: Cross multiply
    595,891.69x = 882,249.47 × 882,249.47
  4. Step 4: Simplify right side
    595,891.69x = 778,364,125,109.66
  5. Step 5: Solve for x
    x = 778,364,125,109.66/595,891.69
  6. Step 6: Final answer
    x = 1,306,217.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.