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Finding the Third Proportional to 306,032 and 662,884

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Solution

The third proportional to 306,032 and 662,884 is: 1,435,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,032 : 662,884 = 662,884 : x
  2. Step 2: Convert to fraction form
    306,032/662,884 = 662,884/x
  3. Step 3: Cross multiply
    306,032x = 662,884 × 662,884
  4. Step 4: Simplify right side
    306,032x = 439,415,197,456
  5. Step 5: Solve for x
    x = 439,415,197,456/306,032
  6. Step 6: Final answer
    x = 1,435,847.22

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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.