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Finding the Third Proportional to 210,985 and 452,451

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Solution

The third proportional to 210,985 and 452,451 is: 970,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,985 : 452,451 = 452,451 : x
  2. Step 2: Convert to fraction form
    210,985/452,451 = 452,451/x
  3. Step 3: Cross multiply
    210,985x = 452,451 × 452,451
  4. Step 4: Simplify right side
    210,985x = 204,711,907,401
  5. Step 5: Solve for x
    x = 204,711,907,401/210,985
  6. Step 6: Final answer
    x = 970,267.59

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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.