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Finding the Third Proportional to 387,592 and 822,092

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Solution

The third proportional to 387,592 and 822,092 is: 1,743,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,592 : 822,092 = 822,092 : x
  2. Step 2: Convert to fraction form
    387,592/822,092 = 822,092/x
  3. Step 3: Cross multiply
    387,592x = 822,092 × 822,092
  4. Step 4: Simplify right side
    387,592x = 675,835,256,464
  5. Step 5: Solve for x
    x = 675,835,256,464/387,592
  6. Step 6: Final answer
    x = 1,743,677.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.