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Finding the Third Proportional to 383,135.50 and 832,590

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Solution

The third proportional to 383,135.50 and 832,590 is: 1,809,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,135.50 : 832,590 = 832,590 : x
  2. Step 2: Convert to fraction form
    383,135.50/832,590 = 832,590/x
  3. Step 3: Cross multiply
    383,135.50x = 832,590 × 832,590
  4. Step 4: Simplify right side
    383,135.50x = 693,206,108,100
  5. Step 5: Solve for x
    x = 693,206,108,100/383,135.50
  6. Step 6: Final answer
    x = 1,809,297.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.