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Finding the Third Proportional to 559,700.50 and 844,234.50

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Solution

The third proportional to 559,700.50 and 844,234.50 is: 1,273,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,700.50 : 844,234.50 = 844,234.50 : x
  2. Step 2: Convert to fraction form
    559,700.50/844,234.50 = 844,234.50/x
  3. Step 3: Cross multiply
    559,700.50x = 844,234.50 × 844,234.50
  4. Step 4: Simplify right side
    559,700.50x = 712,731,890,990.25
  5. Step 5: Solve for x
    x = 712,731,890,990.25/559,700.50
  6. Step 6: Final answer
    x = 1,273,416.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.