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Finding the Third Proportional to 570,523.50 and 768,420

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Solution

The third proportional to 570,523.50 and 768,420 is: 1,034,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,523.50 : 768,420 = 768,420 : x
  2. Step 2: Convert to fraction form
    570,523.50/768,420 = 768,420/x
  3. Step 3: Cross multiply
    570,523.50x = 768,420 × 768,420
  4. Step 4: Simplify right side
    570,523.50x = 590,469,296,400
  5. Step 5: Solve for x
    x = 590,469,296,400/570,523.50
  6. Step 6: Final answer
    x = 1,034,960.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.