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Finding the Third Proportional to 250,683.75 and 520,569

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Solution

The third proportional to 250,683.75 and 520,569 is: 1,081,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,683.75 : 520,569 = 520,569 : x
  2. Step 2: Convert to fraction form
    250,683.75/520,569 = 520,569/x
  3. Step 3: Cross multiply
    250,683.75x = 520,569 × 520,569
  4. Step 4: Simplify right side
    250,683.75x = 270,992,083,761
  5. Step 5: Solve for x
    x = 270,992,083,761/250,683.75
  6. Step 6: Final answer
    x = 1,081,011.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.