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Finding the Third Proportional to 410,444 and 593,913

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Solution

The third proportional to 410,444 and 593,913 is: 859,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,444 : 593,913 = 593,913 : x
  2. Step 2: Convert to fraction form
    410,444/593,913 = 593,913/x
  3. Step 3: Cross multiply
    410,444x = 593,913 × 593,913
  4. Step 4: Simplify right side
    410,444x = 352,732,651,569
  5. Step 5: Solve for x
    x = 352,732,651,569/410,444
  6. Step 6: Final answer
    x = 859,392.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.