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Finding the Third Proportional to 209,270 and 453,310

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Solution

The third proportional to 209,270 and 453,310 is: 981,937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,270 : 453,310 = 453,310 : x
  2. Step 2: Convert to fraction form
    209,270/453,310 = 453,310/x
  3. Step 3: Cross multiply
    209,270x = 453,310 × 453,310
  4. Step 4: Simplify right side
    209,270x = 205,489,956,100
  5. Step 5: Solve for x
    x = 205,489,956,100/209,270
  6. Step 6: Final answer
    x = 981,937.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.