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Finding the Third Proportional to 496,468 and 767,166

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Solution

The third proportional to 496,468 and 767,166 is: 1,185,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,468 : 767,166 = 767,166 : x
  2. Step 2: Convert to fraction form
    496,468/767,166 = 767,166/x
  3. Step 3: Cross multiply
    496,468x = 767,166 × 767,166
  4. Step 4: Simplify right side
    496,468x = 588,543,671,556
  5. Step 5: Solve for x
    x = 588,543,671,556/496,468
  6. Step 6: Final answer
    x = 1,185,461.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.