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Finding the Third Proportional to 442,323 and 671,692

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Solution

The third proportional to 442,323 and 671,692 is: 1,020,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,323 : 671,692 = 671,692 : x
  2. Step 2: Convert to fraction form
    442,323/671,692 = 671,692/x
  3. Step 3: Cross multiply
    442,323x = 671,692 × 671,692
  4. Step 4: Simplify right side
    442,323x = 451,170,142,864
  5. Step 5: Solve for x
    x = 451,170,142,864/442,323
  6. Step 6: Final answer
    x = 1,020,001.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.