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Finding the Third Proportional to 239,804 and 486,332

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Solution

The third proportional to 239,804 and 486,332 is: 986,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,804 : 486,332 = 486,332 : x
  2. Step 2: Convert to fraction form
    239,804/486,332 = 486,332/x
  3. Step 3: Cross multiply
    239,804x = 486,332 × 486,332
  4. Step 4: Simplify right side
    239,804x = 236,518,814,224
  5. Step 5: Solve for x
    x = 236,518,814,224/239,804
  6. Step 6: Final answer
    x = 986,300.54

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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.