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Finding the Third Proportional to 413,577.75 and 910,962

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Solution

The third proportional to 413,577.75 and 910,962 is: 2,006,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,577.75 : 910,962 = 910,962 : x
  2. Step 2: Convert to fraction form
    413,577.75/910,962 = 910,962/x
  3. Step 3: Cross multiply
    413,577.75x = 910,962 × 910,962
  4. Step 4: Simplify right side
    413,577.75x = 829,851,765,444
  5. Step 5: Solve for x
    x = 829,851,765,444/413,577.75
  6. Step 6: Final answer
    x = 2,006,519.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.