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Finding the Third Proportional to 383,511 and 573,079.50

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Solution

The third proportional to 383,511 and 573,079.50 is: 856,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,511 : 573,079.50 = 573,079.50 : x
  2. Step 2: Convert to fraction form
    383,511/573,079.50 = 573,079.50/x
  3. Step 3: Cross multiply
    383,511x = 573,079.50 × 573,079.50
  4. Step 4: Simplify right side
    383,511x = 328,420,113,320.25
  5. Step 5: Solve for x
    x = 328,420,113,320.25/383,511
  6. Step 6: Final answer
    x = 856,351.22

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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.