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Finding the Third Proportional to 476,206 and 719,175

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Solution

The third proportional to 476,206 and 719,175 is: 1,086,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,206 : 719,175 = 719,175 : x
  2. Step 2: Convert to fraction form
    476,206/719,175 = 719,175/x
  3. Step 3: Cross multiply
    476,206x = 719,175 × 719,175
  4. Step 4: Simplify right side
    476,206x = 517,212,680,625
  5. Step 5: Solve for x
    x = 517,212,680,625/476,206
  6. Step 6: Final answer
    x = 1,086,111.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.