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Finding the Third Proportional to 362,178 and 813,348

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Solution

The third proportional to 362,178 and 813,348 is: 1,826,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,178 : 813,348 = 813,348 : x
  2. Step 2: Convert to fraction form
    362,178/813,348 = 813,348/x
  3. Step 3: Cross multiply
    362,178x = 813,348 × 813,348
  4. Step 4: Simplify right side
    362,178x = 661,534,969,104
  5. Step 5: Solve for x
    x = 661,534,969,104/362,178
  6. Step 6: Final answer
    x = 1,826,546.53

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.