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Finding the Third Proportional to 329,202 and 708,345

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Solution

The third proportional to 329,202 and 708,345 is: 1,524,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,202 : 708,345 = 708,345 : x
  2. Step 2: Convert to fraction form
    329,202/708,345 = 708,345/x
  3. Step 3: Cross multiply
    329,202x = 708,345 × 708,345
  4. Step 4: Simplify right side
    329,202x = 501,752,639,025
  5. Step 5: Solve for x
    x = 501,752,639,025/329,202
  6. Step 6: Final answer
    x = 1,524,148.21

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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.