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Finding the Third Proportional to 329,342 and 708,616

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Solution

The third proportional to 329,342 and 708,616 is: 1,524,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,342 : 708,616 = 708,616 : x
  2. Step 2: Convert to fraction form
    329,342/708,616 = 708,616/x
  3. Step 3: Cross multiply
    329,342x = 708,616 × 708,616
  4. Step 4: Simplify right side
    329,342x = 502,136,635,456
  5. Step 5: Solve for x
    x = 502,136,635,456/329,342
  6. Step 6: Final answer
    x = 1,524,666.26

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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.