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Finding the Third Proportional to 208,658 and 450,508

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Solution

The third proportional to 208,658 and 450,508 is: 972,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,658 : 450,508 = 450,508 : x
  2. Step 2: Convert to fraction form
    208,658/450,508 = 450,508/x
  3. Step 3: Cross multiply
    208,658x = 450,508 × 450,508
  4. Step 4: Simplify right side
    208,658x = 202,957,458,064
  5. Step 5: Solve for x
    x = 202,957,458,064/208,658
  6. Step 6: Final answer
    x = 972,679.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.