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Finding the Third Proportional to 244,051.13 and 499,995.75

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Solution

The third proportional to 244,051.13 and 499,995.75 is: 1,024,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,051.13 : 499,995.75 = 499,995.75 : x
  2. Step 2: Convert to fraction form
    244,051.13/499,995.75 = 499,995.75/x
  3. Step 3: Cross multiply
    244,051.13x = 499,995.75 × 499,995.75
  4. Step 4: Simplify right side
    244,051.13x = 249,995,750,018.06
  5. Step 5: Solve for x
    x = 249,995,750,018.06/244,051.13
  6. Step 6: Final answer
    x = 1,024,358.11

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