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Finding the Third Proportional to 566,054 and 769,161

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Solution

The third proportional to 566,054 and 769,161 is: 1,045,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,054 : 769,161 = 769,161 : x
  2. Step 2: Convert to fraction form
    566,054/769,161 = 769,161/x
  3. Step 3: Cross multiply
    566,054x = 769,161 × 769,161
  4. Step 4: Simplify right side
    566,054x = 591,608,643,921
  5. Step 5: Solve for x
    x = 591,608,643,921/566,054
  6. Step 6: Final answer
    x = 1,045,145.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.