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Finding the Third Proportional to 526,713 and 797,717.25

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Solution

The third proportional to 526,713 and 797,717.25 is: 1,208,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,713 : 797,717.25 = 797,717.25 : x
  2. Step 2: Convert to fraction form
    526,713/797,717.25 = 797,717.25/x
  3. Step 3: Cross multiply
    526,713x = 797,717.25 × 797,717.25
  4. Step 4: Simplify right side
    526,713x = 636,352,810,947.56
  5. Step 5: Solve for x
    x = 636,352,810,947.56/526,713
  6. Step 6: Final answer
    x = 1,208,158.54

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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.