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Finding the Third Proportional to 579,726 and 801,054

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Solution

The third proportional to 579,726 and 801,054 is: 1,106,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,726 : 801,054 = 801,054 : x
  2. Step 2: Convert to fraction form
    579,726/801,054 = 801,054/x
  3. Step 3: Cross multiply
    579,726x = 801,054 × 801,054
  4. Step 4: Simplify right side
    579,726x = 641,687,510,916
  5. Step 5: Solve for x
    x = 641,687,510,916/579,726
  6. Step 6: Final answer
    x = 1,106,880.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.