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Finding the Third Proportional to 304,432.50 and 489,172

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Solution

The third proportional to 304,432.50 and 489,172 is: 786,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,432.50 : 489,172 = 489,172 : x
  2. Step 2: Convert to fraction form
    304,432.50/489,172 = 489,172/x
  3. Step 3: Cross multiply
    304,432.50x = 489,172 × 489,172
  4. Step 4: Simplify right side
    304,432.50x = 239,289,245,584
  5. Step 5: Solve for x
    x = 239,289,245,584/304,432.50
  6. Step 6: Final answer
    x = 786,017.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.