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Finding the Third Proportional to 366,870.50 and 489,206

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Solution

The third proportional to 366,870.50 and 489,206 is: 652,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,870.50 : 489,206 = 489,206 : x
  2. Step 2: Convert to fraction form
    366,870.50/489,206 = 489,206/x
  3. Step 3: Cross multiply
    366,870.50x = 489,206 × 489,206
  4. Step 4: Simplify right side
    366,870.50x = 239,322,510,436
  5. Step 5: Solve for x
    x = 239,322,510,436/366,870.50
  6. Step 6: Final answer
    x = 652,335.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.