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Finding the Third Proportional to 210,908 and 453,822

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Solution

The third proportional to 210,908 and 453,822 is: 976,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,908 : 453,822 = 453,822 : x
  2. Step 2: Convert to fraction form
    210,908/453,822 = 453,822/x
  3. Step 3: Cross multiply
    210,908x = 453,822 × 453,822
  4. Step 4: Simplify right side
    210,908x = 205,954,407,684
  5. Step 5: Solve for x
    x = 205,954,407,684/210,908
  6. Step 6: Final answer
    x = 976,513.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.