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Finding the Third Proportional to 347,764.50 and 741,456

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Solution

The third proportional to 347,764.50 and 741,456 is: 1,580,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,764.50 : 741,456 = 741,456 : x
  2. Step 2: Convert to fraction form
    347,764.50/741,456 = 741,456/x
  3. Step 3: Cross multiply
    347,764.50x = 741,456 × 741,456
  4. Step 4: Simplify right side
    347,764.50x = 549,756,999,936
  5. Step 5: Solve for x
    x = 549,756,999,936/347,764.50
  6. Step 6: Final answer
    x = 1,580,831.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.