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Finding the Third Proportional to 323,337.50 and 489,482.50

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Solution

The third proportional to 323,337.50 and 489,482.50 is: 741,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,337.50 : 489,482.50 = 489,482.50 : x
  2. Step 2: Convert to fraction form
    323,337.50/489,482.50 = 489,482.50/x
  3. Step 3: Cross multiply
    323,337.50x = 489,482.50 × 489,482.50
  4. Step 4: Simplify right side
    323,337.50x = 239,593,117,806.25
  5. Step 5: Solve for x
    x = 239,593,117,806.25/323,337.50
  6. Step 6: Final answer
    x = 741,000.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.