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Finding the Third Proportional to 207,767 and 455,083

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Solution

The third proportional to 207,767 and 455,083 is: 996,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,767 : 455,083 = 455,083 : x
  2. Step 2: Convert to fraction form
    207,767/455,083 = 455,083/x
  3. Step 3: Cross multiply
    207,767x = 455,083 × 455,083
  4. Step 4: Simplify right side
    207,767x = 207,100,536,889
  5. Step 5: Solve for x
    x = 207,100,536,889/207,767
  6. Step 6: Final answer
    x = 996,792.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.