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Finding the Third Proportional to 327,018 and 705,633

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Solution

The third proportional to 327,018 and 705,633 is: 1,522,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,018 : 705,633 = 705,633 : x
  2. Step 2: Convert to fraction form
    327,018/705,633 = 705,633/x
  3. Step 3: Cross multiply
    327,018x = 705,633 × 705,633
  4. Step 4: Simplify right side
    327,018x = 497,917,930,689
  5. Step 5: Solve for x
    x = 497,917,930,689/327,018
  6. Step 6: Final answer
    x = 1,522,600.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.