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Finding the Third Proportional to 580,455 and 836,075.25

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Solution

The third proportional to 580,455 and 836,075.25 is: 1,204,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,455 : 836,075.25 = 836,075.25 : x
  2. Step 2: Convert to fraction form
    580,455/836,075.25 = 836,075.25/x
  3. Step 3: Cross multiply
    580,455x = 836,075.25 × 836,075.25
  4. Step 4: Simplify right side
    580,455x = 699,021,823,662.56
  5. Step 5: Solve for x
    x = 699,021,823,662.56/580,455
  6. Step 6: Final answer
    x = 1,204,265.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.