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Finding the Third Proportional to 328,832 and 717,173

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Solution

The third proportional to 328,832 and 717,173 is: 1,564,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,832 : 717,173 = 717,173 : x
  2. Step 2: Convert to fraction form
    328,832/717,173 = 717,173/x
  3. Step 3: Cross multiply
    328,832x = 717,173 × 717,173
  4. Step 4: Simplify right side
    328,832x = 514,337,111,929
  5. Step 5: Solve for x
    x = 514,337,111,929/328,832
  6. Step 6: Final answer
    x = 1,564,133.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.