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Finding the Third Proportional to 593,297 and 840,064

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Solution

The third proportional to 593,297 and 840,064 is: 1,189,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,297 : 840,064 = 840,064 : x
  2. Step 2: Convert to fraction form
    593,297/840,064 = 840,064/x
  3. Step 3: Cross multiply
    593,297x = 840,064 × 840,064
  4. Step 4: Simplify right side
    593,297x = 705,707,524,096
  5. Step 5: Solve for x
    x = 705,707,524,096/593,297
  6. Step 6: Final answer
    x = 1,189,467.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.