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Finding the Third Proportional to 526,335 and 794,238

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Solution

The third proportional to 526,335 and 794,238 is: 1,198,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,335 : 794,238 = 794,238 : x
  2. Step 2: Convert to fraction form
    526,335/794,238 = 794,238/x
  3. Step 3: Cross multiply
    526,335x = 794,238 × 794,238
  4. Step 4: Simplify right side
    526,335x = 630,814,000,644
  5. Step 5: Solve for x
    x = 630,814,000,644/526,335
  6. Step 6: Final answer
    x = 1,198,502.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.