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Finding the Third Proportional to 598,968 and 797,364

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Solution

The third proportional to 598,968 and 797,364 is: 1,061,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,968 : 797,364 = 797,364 : x
  2. Step 2: Convert to fraction form
    598,968/797,364 = 797,364/x
  3. Step 3: Cross multiply
    598,968x = 797,364 × 797,364
  4. Step 4: Simplify right side
    598,968x = 635,789,348,496
  5. Step 5: Solve for x
    x = 635,789,348,496/598,968
  6. Step 6: Final answer
    x = 1,061,474.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.