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Finding the Third Proportional to 423,434 and 658,475

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Solution

The third proportional to 423,434 and 658,475 is: 1,023,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,434 : 658,475 = 658,475 : x
  2. Step 2: Convert to fraction form
    423,434/658,475 = 658,475/x
  3. Step 3: Cross multiply
    423,434x = 658,475 × 658,475
  4. Step 4: Simplify right side
    423,434x = 433,589,325,625
  5. Step 5: Solve for x
    x = 433,589,325,625/423,434
  6. Step 6: Final answer
    x = 1,023,983.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.