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Finding the Third Proportional to 590,329 and 1,304,698

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Solution

The third proportional to 590,329 and 1,304,698 is: 2,883,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,329 : 1,304,698 = 1,304,698 : x
  2. Step 2: Convert to fraction form
    590,329/1,304,698 = 1,304,698/x
  3. Step 3: Cross multiply
    590,329x = 1,304,698 × 1,304,698
  4. Step 4: Simplify right side
    590,329x = 1,702,236,871,204
  5. Step 5: Solve for x
    x = 1,702,236,871,204/590,329
  6. Step 6: Final answer
    x = 2,883,539.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.