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Finding the Third Proportional to 370,814 and 794,116

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Solution

The third proportional to 370,814 and 794,116 is: 1,700,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,814 : 794,116 = 794,116 : x
  2. Step 2: Convert to fraction form
    370,814/794,116 = 794,116/x
  3. Step 3: Cross multiply
    370,814x = 794,116 × 794,116
  4. Step 4: Simplify right side
    370,814x = 630,620,221,456
  5. Step 5: Solve for x
    x = 630,620,221,456/370,814
  6. Step 6: Final answer
    x = 1,700,637.57

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Why These Related Problems?

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