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Finding the Third Proportional to 512,270 and 770,058

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Solution

The third proportional to 512,270 and 770,058 is: 1,157,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,270 : 770,058 = 770,058 : x
  2. Step 2: Convert to fraction form
    512,270/770,058 = 770,058/x
  3. Step 3: Cross multiply
    512,270x = 770,058 × 770,058
  4. Step 4: Simplify right side
    512,270x = 592,989,323,364
  5. Step 5: Solve for x
    x = 592,989,323,364/512,270
  6. Step 6: Final answer
    x = 1,157,571.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.