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Finding the Third Proportional to 207,703 and 489,012

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Solution

The third proportional to 207,703 and 489,012 is: 1,151,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,703 : 489,012 = 489,012 : x
  2. Step 2: Convert to fraction form
    207,703/489,012 = 489,012/x
  3. Step 3: Cross multiply
    207,703x = 489,012 × 489,012
  4. Step 4: Simplify right side
    207,703x = 239,132,736,144
  5. Step 5: Solve for x
    x = 239,132,736,144/207,703
  6. Step 6: Final answer
    x = 1,151,320.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.