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Finding the Third Proportional to 208,518 and 446,560

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Solution

The third proportional to 208,518 and 446,560 is: 956,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,518 : 446,560 = 446,560 : x
  2. Step 2: Convert to fraction form
    208,518/446,560 = 446,560/x
  3. Step 3: Cross multiply
    208,518x = 446,560 × 446,560
  4. Step 4: Simplify right side
    208,518x = 199,415,833,600
  5. Step 5: Solve for x
    x = 199,415,833,600/208,518
  6. Step 6: Final answer
    x = 956,348.29

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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.