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Finding the Third Proportional to 208,374 and 447,810

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Solution

The third proportional to 208,374 and 447,810 is: 962,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,374 : 447,810 = 447,810 : x
  2. Step 2: Convert to fraction form
    208,374/447,810 = 447,810/x
  3. Step 3: Cross multiply
    208,374x = 447,810 × 447,810
  4. Step 4: Simplify right side
    208,374x = 200,533,796,100
  5. Step 5: Solve for x
    x = 200,533,796,100/208,374
  6. Step 6: Final answer
    x = 962,374.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.