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Finding the Third Proportional to 250,025 and 539,143

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Solution

The third proportional to 250,025 and 539,143 is: 1,162,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,025 : 539,143 = 539,143 : x
  2. Step 2: Convert to fraction form
    250,025/539,143 = 539,143/x
  3. Step 3: Cross multiply
    250,025x = 539,143 × 539,143
  4. Step 4: Simplify right side
    250,025x = 290,675,174,449
  5. Step 5: Solve for x
    x = 290,675,174,449/250,025
  6. Step 6: Final answer
    x = 1,162,584.44

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Why These Related Problems?

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