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Finding the Third Proportional to 322,968 and 695,292

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Solution

The third proportional to 322,968 and 695,292 is: 1,496,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,968 : 695,292 = 695,292 : x
  2. Step 2: Convert to fraction form
    322,968/695,292 = 695,292/x
  3. Step 3: Cross multiply
    322,968x = 695,292 × 695,292
  4. Step 4: Simplify right side
    322,968x = 483,430,965,264
  5. Step 5: Solve for x
    x = 483,430,965,264/322,968
  6. Step 6: Final answer
    x = 1,496,838.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.