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Finding the Third Proportional to 491,186 and 760,755

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Solution

The third proportional to 491,186 and 760,755 is: 1,178,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,186 : 760,755 = 760,755 : x
  2. Step 2: Convert to fraction form
    491,186/760,755 = 760,755/x
  3. Step 3: Cross multiply
    491,186x = 760,755 × 760,755
  4. Step 4: Simplify right side
    491,186x = 578,748,170,025
  5. Step 5: Solve for x
    x = 578,748,170,025/491,186
  6. Step 6: Final answer
    x = 1,178,266.83

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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.