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Finding the Third Proportional to 250,776 and 384,912

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Solution

The third proportional to 250,776 and 384,912 is: 590,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,776 : 384,912 = 384,912 : x
  2. Step 2: Convert to fraction form
    250,776/384,912 = 384,912/x
  3. Step 3: Cross multiply
    250,776x = 384,912 × 384,912
  4. Step 4: Simplify right side
    250,776x = 148,157,247,744
  5. Step 5: Solve for x
    x = 148,157,247,744/250,776
  6. Step 6: Final answer
    x = 590,795.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.