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Finding the Third Proportional to 208,524 and 446,574

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Solution

The third proportional to 208,524 and 446,574 is: 956,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524 : 446,574 = 446,574 : x
  2. Step 2: Convert to fraction form
    208,524/446,574 = 446,574/x
  3. Step 3: Cross multiply
    208,524x = 446,574 × 446,574
  4. Step 4: Simplify right side
    208,524x = 199,428,337,476
  5. Step 5: Solve for x
    x = 199,428,337,476/208,524
  6. Step 6: Final answer
    x = 956,380.74

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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.