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Finding the Third Proportional to 233,040 and 500,064

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Solution

The third proportional to 233,040 and 500,064 is: 1,073,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,040 : 500,064 = 500,064 : x
  2. Step 2: Convert to fraction form
    233,040/500,064 = 500,064/x
  3. Step 3: Cross multiply
    233,040x = 500,064 × 500,064
  4. Step 4: Simplify right side
    233,040x = 250,064,004,096
  5. Step 5: Solve for x
    x = 250,064,004,096/233,040
  6. Step 6: Final answer
    x = 1,073,051.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.