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Finding the Third Proportional to 329,337 and 708,606

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Solution

The third proportional to 329,337 and 708,606 is: 1,524,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,337 : 708,606 = 708,606 : x
  2. Step 2: Convert to fraction form
    329,337/708,606 = 708,606/x
  3. Step 3: Cross multiply
    329,337x = 708,606 × 708,606
  4. Step 4: Simplify right side
    329,337x = 502,122,463,236
  5. Step 5: Solve for x
    x = 502,122,463,236/329,337
  6. Step 6: Final answer
    x = 1,524,646.38

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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.