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Finding the Third Proportional to 210,719 and 458,857

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Solution

The third proportional to 210,719 and 458,857 is: 999,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,719 : 458,857 = 458,857 : x
  2. Step 2: Convert to fraction form
    210,719/458,857 = 458,857/x
  3. Step 3: Cross multiply
    210,719x = 458,857 × 458,857
  4. Step 4: Simplify right side
    210,719x = 210,549,746,449
  5. Step 5: Solve for x
    x = 210,549,746,449/210,719
  6. Step 6: Final answer
    x = 999,196.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.