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Finding the Third Proportional to 265,842 and 394,024.50

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Solution

The third proportional to 265,842 and 394,024.50 is: 584,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,842 : 394,024.50 = 394,024.50 : x
  2. Step 2: Convert to fraction form
    265,842/394,024.50 = 394,024.50/x
  3. Step 3: Cross multiply
    265,842x = 394,024.50 × 394,024.50
  4. Step 4: Simplify right side
    265,842x = 155,255,306,600.25
  5. Step 5: Solve for x
    x = 155,255,306,600.25/265,842
  6. Step 6: Final answer
    x = 584,013.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.