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Finding the Third Proportional to 218,871 and 452,907

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Solution

The third proportional to 218,871 and 452,907 is: 937,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,871 : 452,907 = 452,907 : x
  2. Step 2: Convert to fraction form
    218,871/452,907 = 452,907/x
  3. Step 3: Cross multiply
    218,871x = 452,907 × 452,907
  4. Step 4: Simplify right side
    218,871x = 205,124,750,649
  5. Step 5: Solve for x
    x = 205,124,750,649/218,871
  6. Step 6: Final answer
    x = 937,194.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.