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Finding the Third Proportional to 370,827.75 and 794,142

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Solution

The third proportional to 370,827.75 and 794,142 is: 1,700,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,827.75 : 794,142 = 794,142 : x
  2. Step 2: Convert to fraction form
    370,827.75/794,142 = 794,142/x
  3. Step 3: Cross multiply
    370,827.75x = 794,142 × 794,142
  4. Step 4: Simplify right side
    370,827.75x = 630,661,516,164
  5. Step 5: Solve for x
    x = 630,661,516,164/370,827.75
  6. Step 6: Final answer
    x = 1,700,685.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.