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Finding the Third Proportional to 215,429.63 and 462,844.13

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Solution

The third proportional to 215,429.63 and 462,844.13 is: 994,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,429.63 : 462,844.13 = 462,844.13 : x
  2. Step 2: Convert to fraction form
    215,429.63/462,844.13 = 462,844.13/x
  3. Step 3: Cross multiply
    215,429.63x = 462,844.13 × 462,844.13
  4. Step 4: Simplify right side
    215,429.63x = 214,224,684,047.02
  5. Step 5: Solve for x
    x = 214,224,684,047.02/215,429.63
  6. Step 6: Final answer
    x = 994,406.80

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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.