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Finding the Third Proportional to 369,468 and 794,188

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Solution

The third proportional to 369,468 and 794,188 is: 1,707,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,468 : 794,188 = 794,188 : x
  2. Step 2: Convert to fraction form
    369,468/794,188 = 794,188/x
  3. Step 3: Cross multiply
    369,468x = 794,188 × 794,188
  4. Step 4: Simplify right side
    369,468x = 630,734,579,344
  5. Step 5: Solve for x
    x = 630,734,579,344/369,468
  6. Step 6: Final answer
    x = 1,707,142.65

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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.