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Finding the Third Proportional to 214,006 and 455,660

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Solution

The third proportional to 214,006 and 455,660 is: 970,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,006 : 455,660 = 455,660 : x
  2. Step 2: Convert to fraction form
    214,006/455,660 = 455,660/x
  3. Step 3: Cross multiply
    214,006x = 455,660 × 455,660
  4. Step 4: Simplify right side
    214,006x = 207,626,035,600
  5. Step 5: Solve for x
    x = 207,626,035,600/214,006
  6. Step 6: Final answer
    x = 970,187.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.