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Finding the Third Proportional to 319,826 and 689,475

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Solution

The third proportional to 319,826 and 689,475 is: 1,486,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,826 : 689,475 = 689,475 : x
  2. Step 2: Convert to fraction form
    319,826/689,475 = 689,475/x
  3. Step 3: Cross multiply
    319,826x = 689,475 × 689,475
  4. Step 4: Simplify right side
    319,826x = 475,375,775,625
  5. Step 5: Solve for x
    x = 475,375,775,625/319,826
  6. Step 6: Final answer
    x = 1,486,357.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.