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Finding the Third Proportional to 383,321.50 and 561,040

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Solution

The third proportional to 383,321.50 and 561,040 is: 821,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,321.50 : 561,040 = 561,040 : x
  2. Step 2: Convert to fraction form
    383,321.50/561,040 = 561,040/x
  3. Step 3: Cross multiply
    383,321.50x = 561,040 × 561,040
  4. Step 4: Simplify right side
    383,321.50x = 314,765,881,600
  5. Step 5: Solve for x
    x = 314,765,881,600/383,321.50
  6. Step 6: Final answer
    x = 821,153.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.