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Finding the Third Proportional to 207,696 and 453,830

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Solution

The third proportional to 207,696 and 453,830 is: 991,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,696 : 453,830 = 453,830 : x
  2. Step 2: Convert to fraction form
    207,696/453,830 = 453,830/x
  3. Step 3: Cross multiply
    207,696x = 453,830 × 453,830
  4. Step 4: Simplify right side
    207,696x = 205,961,668,900
  5. Step 5: Solve for x
    x = 205,961,668,900/207,696
  6. Step 6: Final answer
    x = 991,649.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.