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Finding the Third Proportional to 574,092 and 821,770

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Solution

The third proportional to 574,092 and 821,770 is: 1,176,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,092 : 821,770 = 821,770 : x
  2. Step 2: Convert to fraction form
    574,092/821,770 = 821,770/x
  3. Step 3: Cross multiply
    574,092x = 821,770 × 821,770
  4. Step 4: Simplify right side
    574,092x = 675,305,932,900
  5. Step 5: Solve for x
    x = 675,305,932,900/574,092
  6. Step 6: Final answer
    x = 1,176,302.64

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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.