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Finding the Third Proportional to 566,064 and 769,176

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Solution

The third proportional to 566,064 and 769,176 is: 1,045,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,064 : 769,176 = 769,176 : x
  2. Step 2: Convert to fraction form
    566,064/769,176 = 769,176/x
  3. Step 3: Cross multiply
    566,064x = 769,176 × 769,176
  4. Step 4: Simplify right side
    566,064x = 591,631,718,976
  5. Step 5: Solve for x
    x = 591,631,718,976/566,064
  6. Step 6: Final answer
    x = 1,045,167.54

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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.