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Finding the Third Proportional to 208,217 and 448,001

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Solution

The third proportional to 208,217 and 448,001 is: 963,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,217 : 448,001 = 448,001 : x
  2. Step 2: Convert to fraction form
    208,217/448,001 = 448,001/x
  3. Step 3: Cross multiply
    208,217x = 448,001 × 448,001
  4. Step 4: Simplify right side
    208,217x = 200,704,896,001
  5. Step 5: Solve for x
    x = 200,704,896,001/208,217
  6. Step 6: Final answer
    x = 963,921.75

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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.