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Finding the Third Proportional to 250,019.81 and 539,133.38

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Solution

The third proportional to 250,019.81 and 539,133.38 is: 1,162,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,019.81 : 539,133.38 = 539,133.38 : x
  2. Step 2: Convert to fraction form
    250,019.81/539,133.38 = 539,133.38/x
  3. Step 3: Cross multiply
    250,019.81x = 539,133.38 × 539,133.38
  4. Step 4: Simplify right side
    250,019.81x = 290,664,796,038.89
  5. Step 5: Solve for x
    x = 290,664,796,038.89/250,019.81
  6. Step 6: Final answer
    x = 1,162,567.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.