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Finding the Third Proportional to 369,471 and 794,194

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Solution

The third proportional to 369,471 and 794,194 is: 1,707,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,471 : 794,194 = 794,194 : x
  2. Step 2: Convert to fraction form
    369,471/794,194 = 794,194/x
  3. Step 3: Cross multiply
    369,471x = 794,194 × 794,194
  4. Step 4: Simplify right side
    369,471x = 630,744,109,636
  5. Step 5: Solve for x
    x = 630,744,109,636/369,471
  6. Step 6: Final answer
    x = 1,707,154.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.