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Finding the Third Proportional to 329,020 and 720,876

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Solution

The third proportional to 329,020 and 720,876 is: 1,579,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,020 : 720,876 = 720,876 : x
  2. Step 2: Convert to fraction form
    329,020/720,876 = 720,876/x
  3. Step 3: Cross multiply
    329,020x = 720,876 × 720,876
  4. Step 4: Simplify right side
    329,020x = 519,662,207,376
  5. Step 5: Solve for x
    x = 519,662,207,376/329,020
  6. Step 6: Final answer
    x = 1,579,424.37

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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.