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Finding the Third Proportional to 208,288 and 448,220

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Solution

The third proportional to 208,288 and 448,220 is: 964,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,288 : 448,220 = 448,220 : x
  2. Step 2: Convert to fraction form
    208,288/448,220 = 448,220/x
  3. Step 3: Cross multiply
    208,288x = 448,220 × 448,220
  4. Step 4: Simplify right side
    208,288x = 200,901,168,400
  5. Step 5: Solve for x
    x = 200,901,168,400/208,288
  6. Step 6: Final answer
    x = 964,535.49

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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.