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Finding the Third Proportional to 328,215 and 706,326

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Solution

The third proportional to 328,215 and 706,326 is: 1,520,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,215 : 706,326 = 706,326 : x
  2. Step 2: Convert to fraction form
    328,215/706,326 = 706,326/x
  3. Step 3: Cross multiply
    328,215x = 706,326 × 706,326
  4. Step 4: Simplify right side
    328,215x = 498,896,418,276
  5. Step 5: Solve for x
    x = 498,896,418,276/328,215
  6. Step 6: Final answer
    x = 1,520,029.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.