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Finding the Third Proportional to 583,105.50 and 1,278,315

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Solution

The third proportional to 583,105.50 and 1,278,315 is: 2,802,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,105.50 : 1,278,315 = 1,278,315 : x
  2. Step 2: Convert to fraction form
    583,105.50/1,278,315 = 1,278,315/x
  3. Step 3: Cross multiply
    583,105.50x = 1,278,315 × 1,278,315
  4. Step 4: Simplify right side
    583,105.50x = 1,634,089,239,225
  5. Step 5: Solve for x
    x = 1,634,089,239,225/583,105.50
  6. Step 6: Final answer
    x = 2,802,390.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.