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Finding the Third Proportional to 401,434 and 587,075

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Solution

The third proportional to 401,434 and 587,075 is: 858,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,434 : 587,075 = 587,075 : x
  2. Step 2: Convert to fraction form
    401,434/587,075 = 587,075/x
  3. Step 3: Cross multiply
    401,434x = 587,075 × 587,075
  4. Step 4: Simplify right side
    401,434x = 344,657,055,625
  5. Step 5: Solve for x
    x = 344,657,055,625/401,434
  6. Step 6: Final answer
    x = 858,564.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.