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Finding the Third Proportional to 394,548 and 862,924.50

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Solution

The third proportional to 394,548 and 862,924.50 is: 1,887,320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,548 : 862,924.50 = 862,924.50 : x
  2. Step 2: Convert to fraction form
    394,548/862,924.50 = 862,924.50/x
  3. Step 3: Cross multiply
    394,548x = 862,924.50 × 862,924.50
  4. Step 4: Simplify right side
    394,548x = 744,638,692,700.25
  5. Step 5: Solve for x
    x = 744,638,692,700.25/394,548
  6. Step 6: Final answer
    x = 1,887,320.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.