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Finding the Third Proportional to 598,492.50 and 1,279,927.50

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Solution

The third proportional to 598,492.50 and 1,279,927.50 is: 2,737,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,492.50 : 1,279,927.50 = 1,279,927.50 : x
  2. Step 2: Convert to fraction form
    598,492.50/1,279,927.50 = 1,279,927.50/x
  3. Step 3: Cross multiply
    598,492.50x = 1,279,927.50 × 1,279,927.50
  4. Step 4: Simplify right side
    598,492.50x = 1,638,214,405,256.25
  5. Step 5: Solve for x
    x = 1,638,214,405,256.25/598,492.50
  6. Step 6: Final answer
    x = 2,737,234.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.