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Finding the Third Proportional to 589,770 and 807,057

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Solution

The third proportional to 589,770 and 807,057 is: 1,104,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,770 : 807,057 = 807,057 : x
  2. Step 2: Convert to fraction form
    589,770/807,057 = 807,057/x
  3. Step 3: Cross multiply
    589,770x = 807,057 × 807,057
  4. Step 4: Simplify right side
    589,770x = 651,341,001,249
  5. Step 5: Solve for x
    x = 651,341,001,249/589,770
  6. Step 6: Final answer
    x = 1,104,398.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.