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Finding the Third Proportional to 208,095 and 447,753

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Solution

The third proportional to 208,095 and 447,753 is: 963,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,095 : 447,753 = 447,753 : x
  2. Step 2: Convert to fraction form
    208,095/447,753 = 447,753/x
  3. Step 3: Cross multiply
    208,095x = 447,753 × 447,753
  4. Step 4: Simplify right side
    208,095x = 200,482,749,009
  5. Step 5: Solve for x
    x = 200,482,749,009/208,095
  6. Step 6: Final answer
    x = 963,419.35

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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.