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Finding the Third Proportional to 329,482 and 723,116

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Solution

The third proportional to 329,482 and 723,116 is: 1,587,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,482 : 723,116 = 723,116 : x
  2. Step 2: Convert to fraction form
    329,482/723,116 = 723,116/x
  3. Step 3: Cross multiply
    329,482x = 723,116 × 723,116
  4. Step 4: Simplify right side
    329,482x = 522,896,749,456
  5. Step 5: Solve for x
    x = 522,896,749,456/329,482
  6. Step 6: Final answer
    x = 1,587,026.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.