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Finding the Third Proportional to 327,260,320 and 705,524,395

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Solution

The third proportional to 327,260,320 and 705,524,395 is: 1,521,005,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,260,320 : 705,524,395 = 705,524,395 : x
  2. Step 2: Convert to fraction form
    327,260,320/705,524,395 = 705,524,395/x
  3. Step 3: Cross multiply
    327,260,320x = 705,524,395 × 705,524,395
  4. Step 4: Simplify right side
    327,260,320x = 497,764,671,940,116,032
  5. Step 5: Solve for x
    x = 497,764,671,940,116,032/327,260,320
  6. Step 6: Final answer
    x = 1,521,005,271.71

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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.