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Finding the Third Proportional to 239,787 and 486,297

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Solution

The third proportional to 239,787 and 486,297 is: 986,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,787 : 486,297 = 486,297 : x
  2. Step 2: Convert to fraction form
    239,787/486,297 = 486,297/x
  3. Step 3: Cross multiply
    239,787x = 486,297 × 486,297
  4. Step 4: Simplify right side
    239,787x = 236,484,772,209
  5. Step 5: Solve for x
    x = 236,484,772,209/239,787
  6. Step 6: Final answer
    x = 986,228.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.