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Finding the Third Proportional to 362,496 and 842,800

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Solution

The third proportional to 362,496 and 842,800 is: 1,959,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,496 : 842,800 = 842,800 : x
  2. Step 2: Convert to fraction form
    362,496/842,800 = 842,800/x
  3. Step 3: Cross multiply
    362,496x = 842,800 × 842,800
  4. Step 4: Simplify right side
    362,496x = 710,311,840,000
  5. Step 5: Solve for x
    x = 710,311,840,000/362,496
  6. Step 6: Final answer
    x = 1,959,502.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.