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Finding the Third Proportional to 342,739.50 and 533,631

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Solution

The third proportional to 342,739.50 and 533,631 is: 830,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,739.50 : 533,631 = 533,631 : x
  2. Step 2: Convert to fraction form
    342,739.50/533,631 = 533,631/x
  3. Step 3: Cross multiply
    342,739.50x = 533,631 × 533,631
  4. Step 4: Simplify right side
    342,739.50x = 284,762,044,161
  5. Step 5: Solve for x
    x = 284,762,044,161/342,739.50
  6. Step 6: Final answer
    x = 830,841.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.