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Finding the Third Proportional to 200,014.31 and 437,389.88

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Solution

The third proportional to 200,014.31 and 437,389.88 is: 956,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,014.31 : 437,389.88 = 437,389.88 : x
  2. Step 2: Convert to fraction form
    200,014.31/437,389.88 = 437,389.88/x
  3. Step 3: Cross multiply
    200,014.31x = 437,389.88 × 437,389.88
  4. Step 4: Simplify right side
    200,014.31x = 191,309,902,752.52
  5. Step 5: Solve for x
    x = 191,309,902,752.52/200,014.31
  6. Step 6: Final answer
    x = 956,481.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.