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Finding the Third Proportional to 306,951 and 723,573

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Solution

The third proportional to 306,951 and 723,573 is: 1,705,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,951 : 723,573 = 723,573 : x
  2. Step 2: Convert to fraction form
    306,951/723,573 = 723,573/x
  3. Step 3: Cross multiply
    306,951x = 723,573 × 723,573
  4. Step 4: Simplify right side
    306,951x = 523,557,886,329
  5. Step 5: Solve for x
    x = 523,557,886,329/306,951
  6. Step 6: Final answer
    x = 1,705,672.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.