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Finding the Third Proportional to 329,480 and 723,112

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Solution

The third proportional to 329,480 and 723,112 is: 1,587,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,480 : 723,112 = 723,112 : x
  2. Step 2: Convert to fraction form
    329,480/723,112 = 723,112/x
  3. Step 3: Cross multiply
    329,480x = 723,112 × 723,112
  4. Step 4: Simplify right side
    329,480x = 522,890,964,544
  5. Step 5: Solve for x
    x = 522,890,964,544/329,480
  6. Step 6: Final answer
    x = 1,587,018.83

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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.