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Finding the Third Proportional to 208,542 and 446,602

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Solution

The third proportional to 208,542 and 446,602 is: 956,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,542 : 446,602 = 446,602 : x
  2. Step 2: Convert to fraction form
    208,542/446,602 = 446,602/x
  3. Step 3: Cross multiply
    208,542x = 446,602 × 446,602
  4. Step 4: Simplify right side
    208,542x = 199,453,346,404
  5. Step 5: Solve for x
    x = 199,453,346,404/208,542
  6. Step 6: Final answer
    x = 956,418.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.