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Finding the Third Proportional to 217,953 and 469,303.31

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Solution

The third proportional to 217,953 and 469,303.31 is: 1,010,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,953 : 469,303.31 = 469,303.31 : x
  2. Step 2: Convert to fraction form
    217,953/469,303.31 = 469,303.31/x
  3. Step 3: Cross multiply
    217,953x = 469,303.31 × 469,303.31
  4. Step 4: Simplify right side
    217,953x = 220,245,599,123.47
  5. Step 5: Solve for x
    x = 220,245,599,123.47/217,953
  6. Step 6: Final answer
    x = 1,010,518.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.