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Finding the Third Proportional to 208,290 and 448,224

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Solution

The third proportional to 208,290 and 448,224 is: 964,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,290 : 448,224 = 448,224 : x
  2. Step 2: Convert to fraction form
    208,290/448,224 = 448,224/x
  3. Step 3: Cross multiply
    208,290x = 448,224 × 448,224
  4. Step 4: Simplify right side
    208,290x = 200,904,754,176
  5. Step 5: Solve for x
    x = 200,904,754,176/208,290
  6. Step 6: Final answer
    x = 964,543.45

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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.