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Finding the Third Proportional to 208,071 and 448,920

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Solution

The third proportional to 208,071 and 448,920 is: 968,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,071 : 448,920 = 448,920 : x
  2. Step 2: Convert to fraction form
    208,071/448,920 = 448,920/x
  3. Step 3: Cross multiply
    208,071x = 448,920 × 448,920
  4. Step 4: Simplify right side
    208,071x = 201,529,166,400
  5. Step 5: Solve for x
    x = 201,529,166,400/208,071
  6. Step 6: Final answer
    x = 968,559.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.