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Finding the Third Proportional to 521,037 and 779,364

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Solution

The third proportional to 521,037 and 779,364 is: 1,165,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,037 : 779,364 = 779,364 : x
  2. Step 2: Convert to fraction form
    521,037/779,364 = 779,364/x
  3. Step 3: Cross multiply
    521,037x = 779,364 × 779,364
  4. Step 4: Simplify right side
    521,037x = 607,408,244,496
  5. Step 5: Solve for x
    x = 607,408,244,496/521,037
  6. Step 6: Final answer
    x = 1,165,767.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.