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Finding the Third Proportional to 208,514 and 446,552

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Solution

The third proportional to 208,514 and 446,552 is: 956,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,514 : 446,552 = 446,552 : x
  2. Step 2: Convert to fraction form
    208,514/446,552 = 446,552/x
  3. Step 3: Cross multiply
    208,514x = 446,552 × 446,552
  4. Step 4: Simplify right side
    208,514x = 199,408,688,704
  5. Step 5: Solve for x
    x = 199,408,688,704/208,514
  6. Step 6: Final answer
    x = 956,332.37

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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.