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Finding the Third Proportional to 383,373.75 and 580,433.63

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Solution

The third proportional to 383,373.75 and 580,433.63 is: 878,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,373.75 : 580,433.63 = 580,433.63 : x
  2. Step 2: Convert to fraction form
    383,373.75/580,433.63 = 580,433.63/x
  3. Step 3: Cross multiply
    383,373.75x = 580,433.63 × 580,433.63
  4. Step 4: Simplify right side
    383,373.75x = 336,903,193,030.64
  5. Step 5: Solve for x
    x = 336,903,193,030.64/383,373.75
  6. Step 6: Final answer
    x = 878,785.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.