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Finding the Third Proportional to 528,198 and 794,826

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Solution

The third proportional to 528,198 and 794,826 is: 1,196,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,198 : 794,826 = 794,826 : x
  2. Step 2: Convert to fraction form
    528,198/794,826 = 794,826/x
  3. Step 3: Cross multiply
    528,198x = 794,826 × 794,826
  4. Step 4: Simplify right side
    528,198x = 631,748,370,276
  5. Step 5: Solve for x
    x = 631,748,370,276/528,198
  6. Step 6: Final answer
    x = 1,196,044.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.