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Finding the Third Proportional to 245,724.75 and 539,631

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Solution

The third proportional to 245,724.75 and 539,631 is: 1,185,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,724.75 : 539,631 = 539,631 : x
  2. Step 2: Convert to fraction form
    245,724.75/539,631 = 539,631/x
  3. Step 3: Cross multiply
    245,724.75x = 539,631 × 539,631
  4. Step 4: Simplify right side
    245,724.75x = 291,201,616,161
  5. Step 5: Solve for x
    x = 291,201,616,161/245,724.75
  6. Step 6: Final answer
    x = 1,185,072.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.