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Finding the Third Proportional to 239,439 and 523,752

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Solution

The third proportional to 239,439 and 523,752 is: 1,145,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,439 : 523,752 = 523,752 : x
  2. Step 2: Convert to fraction form
    239,439/523,752 = 523,752/x
  3. Step 3: Cross multiply
    239,439x = 523,752 × 523,752
  4. Step 4: Simplify right side
    239,439x = 274,316,157,504
  5. Step 5: Solve for x
    x = 274,316,157,504/239,439
  6. Step 6: Final answer
    x = 1,145,661.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.