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Finding the Third Proportional to 208,279 and 448,202

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Solution

The third proportional to 208,279 and 448,202 is: 964,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,279 : 448,202 = 448,202 : x
  2. Step 2: Convert to fraction form
    208,279/448,202 = 448,202/x
  3. Step 3: Cross multiply
    208,279x = 448,202 × 448,202
  4. Step 4: Simplify right side
    208,279x = 200,885,032,804
  5. Step 5: Solve for x
    x = 200,885,032,804/208,279
  6. Step 6: Final answer
    x = 964,499.70

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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.