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Finding the Third Proportional to 666,500 and 952,430

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Solution

The third proportional to 666,500 and 952,430 is: 1,361,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,500 : 952,430 = 952,430 : x
  2. Step 2: Convert to fraction form
    666,500/952,430 = 952,430/x
  3. Step 3: Cross multiply
    666,500x = 952,430 × 952,430
  4. Step 4: Simplify right side
    666,500x = 907,122,904,900
  5. Step 5: Solve for x
    x = 907,122,904,900/666,500
  6. Step 6: Final answer
    x = 1,361,024.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.