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Finding the Third Proportional to 329,340 and 708,612

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Solution

The third proportional to 329,340 and 708,612 is: 1,524,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,340 : 708,612 = 708,612 : x
  2. Step 2: Convert to fraction form
    329,340/708,612 = 708,612/x
  3. Step 3: Cross multiply
    329,340x = 708,612 × 708,612
  4. Step 4: Simplify right side
    329,340x = 502,130,966,544
  5. Step 5: Solve for x
    x = 502,130,966,544/329,340
  6. Step 6: Final answer
    x = 1,524,658.31

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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.