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Finding the Third Proportional to 211,821.75 and 452,783.25

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Solution

The third proportional to 211,821.75 and 452,783.25 is: 967,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,821.75 : 452,783.25 = 452,783.25 : x
  2. Step 2: Convert to fraction form
    211,821.75/452,783.25 = 452,783.25/x
  3. Step 3: Cross multiply
    211,821.75x = 452,783.25 × 452,783.25
  4. Step 4: Simplify right side
    211,821.75x = 205,012,671,480.56
  5. Step 5: Solve for x
    x = 205,012,671,480.56/211,821.75
  6. Step 6: Final answer
    x = 967,854.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.