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Finding the Third Proportional to 208,634 and 450,523

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Solution

The third proportional to 208,634 and 450,523 is: 972,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,634 : 450,523 = 450,523 : x
  2. Step 2: Convert to fraction form
    208,634/450,523 = 450,523/x
  3. Step 3: Cross multiply
    208,634x = 450,523 × 450,523
  4. Step 4: Simplify right side
    208,634x = 202,970,973,529
  5. Step 5: Solve for x
    x = 202,970,973,529/208,634
  6. Step 6: Final answer
    x = 972,856.65

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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.