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Finding the Third Proportional to 526,243 and 794,101

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Solution

The third proportional to 526,243 and 794,101 is: 1,198,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,243 : 794,101 = 794,101 : x
  2. Step 2: Convert to fraction form
    526,243/794,101 = 794,101/x
  3. Step 3: Cross multiply
    526,243x = 794,101 × 794,101
  4. Step 4: Simplify right side
    526,243x = 630,596,398,201
  5. Step 5: Solve for x
    x = 630,596,398,201/526,243
  6. Step 6: Final answer
    x = 1,198,298.88

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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.