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Finding the Third Proportional to 209,263 and 452,060

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Solution

The third proportional to 209,263 and 452,060 is: 976,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,263 : 452,060 = 452,060 : x
  2. Step 2: Convert to fraction form
    209,263/452,060 = 452,060/x
  3. Step 3: Cross multiply
    209,263x = 452,060 × 452,060
  4. Step 4: Simplify right side
    209,263x = 204,358,243,600
  5. Step 5: Solve for x
    x = 204,358,243,600/209,263
  6. Step 6: Final answer
    x = 976,561.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.