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Finding the Third Proportional to 207,835 and 447,725

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Solution

The third proportional to 207,835 and 447,725 is: 964,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,835 : 447,725 = 447,725 : x
  2. Step 2: Convert to fraction form
    207,835/447,725 = 447,725/x
  3. Step 3: Cross multiply
    207,835x = 447,725 × 447,725
  4. Step 4: Simplify right side
    207,835x = 200,457,675,625
  5. Step 5: Solve for x
    x = 200,457,675,625/207,835
  6. Step 6: Final answer
    x = 964,503.94

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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.