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Finding the Third Proportional to 306,024 and 662,868

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Solution

The third proportional to 306,024 and 662,868 is: 1,435,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,024 : 662,868 = 662,868 : x
  2. Step 2: Convert to fraction form
    306,024/662,868 = 662,868/x
  3. Step 3: Cross multiply
    306,024x = 662,868 × 662,868
  4. Step 4: Simplify right side
    306,024x = 439,393,985,424
  5. Step 5: Solve for x
    x = 439,393,985,424/306,024
  6. Step 6: Final answer
    x = 1,435,815.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.