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Finding the Third Proportional to 590,577.75 and 916,201.13

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Solution

The third proportional to 590,577.75 and 916,201.13 is: 1,421,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,577.75 : 916,201.13 = 916,201.13 : x
  2. Step 2: Convert to fraction form
    590,577.75/916,201.13 = 916,201.13/x
  3. Step 3: Cross multiply
    590,577.75x = 916,201.13 × 916,201.13
  4. Step 4: Simplify right side
    590,577.75x = 839,424,501,451.27
  5. Step 5: Solve for x
    x = 839,424,501,451.27/590,577.75
  6. Step 6: Final answer
    x = 1,421,361.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.