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Finding the Third Proportional to 305,957 and 662,762

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Solution

The third proportional to 305,957 and 662,762 is: 1,435,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,957 : 662,762 = 662,762 : x
  2. Step 2: Convert to fraction form
    305,957/662,762 = 662,762/x
  3. Step 3: Cross multiply
    305,957x = 662,762 × 662,762
  4. Step 4: Simplify right side
    305,957x = 439,253,468,644
  5. Step 5: Solve for x
    x = 439,253,468,644/305,957
  6. Step 6: Final answer
    x = 1,435,670.60

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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.