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Finding the Third Proportional to 238,977.84 and 489,024.84

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Solution

The third proportional to 238,977.84 and 489,024.84 is: 1,000,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,977.84 : 489,024.84 = 489,024.84 : x
  2. Step 2: Convert to fraction form
    238,977.84/489,024.84 = 489,024.84/x
  3. Step 3: Cross multiply
    238,977.84x = 489,024.84 × 489,024.84
  4. Step 4: Simplify right side
    238,977.84x = 239,145,297,804.71
  5. Step 5: Solve for x
    x = 239,145,297,804.71/238,977.84
  6. Step 6: Final answer
    x = 1,000,700.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.