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Finding the Third Proportional to 291,232 and 596,576

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Solution

The third proportional to 291,232 and 596,576 is: 1,222,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,232 : 596,576 = 596,576 : x
  2. Step 2: Convert to fraction form
    291,232/596,576 = 596,576/x
  3. Step 3: Cross multiply
    291,232x = 596,576 × 596,576
  4. Step 4: Simplify right side
    291,232x = 355,902,923,776
  5. Step 5: Solve for x
    x = 355,902,923,776/291,232
  6. Step 6: Final answer
    x = 1,222,059.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.