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Finding the Third Proportional to 370,881 and 794,247

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Solution

The third proportional to 370,881 and 794,247 is: 1,700,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,881 : 794,247 = 794,247 : x
  2. Step 2: Convert to fraction form
    370,881/794,247 = 794,247/x
  3. Step 3: Cross multiply
    370,881x = 794,247 × 794,247
  4. Step 4: Simplify right side
    370,881x = 630,828,297,009
  5. Step 5: Solve for x
    x = 630,828,297,009/370,881
  6. Step 6: Final answer
    x = 1,700,891.38

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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.