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Finding the Third Proportional to 329,113.76 and 708,048.21

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Solution

The third proportional to 329,113.76 and 708,048.21 is: 1,523,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,113.76 : 708,048.21 = 708,048.21 : x
  2. Step 2: Convert to fraction form
    329,113.76/708,048.21 = 708,048.21/x
  3. Step 3: Cross multiply
    329,113.76x = 708,048.21 × 708,048.21
  4. Step 4: Simplify right side
    329,113.76x = 501,332,269,011.80
  5. Step 5: Solve for x
    x = 501,332,269,011.80/329,113.76
  6. Step 6: Final answer
    x = 1,523,279.59

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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.