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Finding the Third Proportional to 362,466 and 818,932.50

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Solution

The third proportional to 362,466 and 818,932.50 is: 1,850,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,466 : 818,932.50 = 818,932.50 : x
  2. Step 2: Convert to fraction form
    362,466/818,932.50 = 818,932.50/x
  3. Step 3: Cross multiply
    362,466x = 818,932.50 × 818,932.50
  4. Step 4: Simplify right side
    362,466x = 670,650,439,556.25
  5. Step 5: Solve for x
    x = 670,650,439,556.25/362,466
  6. Step 6: Final answer
    x = 1,850,243.72

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.