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Finding the Third Proportional to 210,658 and 467,972

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Solution

The third proportional to 210,658 and 467,972 is: 1,039,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,658 : 467,972 = 467,972 : x
  2. Step 2: Convert to fraction form
    210,658/467,972 = 467,972/x
  3. Step 3: Cross multiply
    210,658x = 467,972 × 467,972
  4. Step 4: Simplify right side
    210,658x = 218,997,792,784
  5. Step 5: Solve for x
    x = 218,997,792,784/210,658
  6. Step 6: Final answer
    x = 1,039,589.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.