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Finding the Third Proportional to 383,650.31 and 573,106.13

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Solution

The third proportional to 383,650.31 and 573,106.13 is: 856,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,650.31 : 573,106.13 = 573,106.13 : x
  2. Step 2: Convert to fraction form
    383,650.31/573,106.13 = 573,106.13/x
  3. Step 3: Cross multiply
    383,650.31x = 573,106.13 × 573,106.13
  4. Step 4: Simplify right side
    383,650.31x = 328,450,630,512.52
  5. Step 5: Solve for x
    x = 328,450,630,512.52/383,650.31
  6. Step 6: Final answer
    x = 856,119.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.