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Finding the Third Proportional to 244,090.13 and 500,072.06

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Solution

The third proportional to 244,090.13 and 500,072.06 is: 1,024,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,090.13 : 500,072.06 = 500,072.06 : x
  2. Step 2: Convert to fraction form
    244,090.13/500,072.06 = 500,072.06/x
  3. Step 3: Cross multiply
    244,090.13x = 500,072.06 × 500,072.06
  4. Step 4: Simplify right side
    244,090.13x = 250,072,067,693.00
  5. Step 5: Solve for x
    x = 250,072,067,693.00/244,090.13
  6. Step 6: Final answer
    x = 1,024,507.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.