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Finding the Third Proportional to 404,717 and 593,953

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Solution

The third proportional to 404,717 and 593,953 is: 871,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,717 : 593,953 = 593,953 : x
  2. Step 2: Convert to fraction form
    404,717/593,953 = 593,953/x
  3. Step 3: Cross multiply
    404,717x = 593,953 × 593,953
  4. Step 4: Simplify right side
    404,717x = 352,780,166,209
  5. Step 5: Solve for x
    x = 352,780,166,209/404,717
  6. Step 6: Final answer
    x = 871,671.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.