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Finding the Third Proportional to 475,992 and 991,345.50

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Solution

The third proportional to 475,992 and 991,345.50 is: 2,064,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,992 : 991,345.50 = 991,345.50 : x
  2. Step 2: Convert to fraction form
    475,992/991,345.50 = 991,345.50/x
  3. Step 3: Cross multiply
    475,992x = 991,345.50 × 991,345.50
  4. Step 4: Simplify right side
    475,992x = 982,765,900,370.25
  5. Step 5: Solve for x
    x = 982,765,900,370.25/475,992
  6. Step 6: Final answer
    x = 2,064,668.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.