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Finding the Third Proportional to 580,982.63 and 848,373.75

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Solution

The third proportional to 580,982.63 and 848,373.75 is: 1,238,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,982.63 : 848,373.75 = 848,373.75 : x
  2. Step 2: Convert to fraction form
    580,982.63/848,373.75 = 848,373.75/x
  3. Step 3: Cross multiply
    580,982.63x = 848,373.75 × 848,373.75
  4. Step 4: Simplify right side
    580,982.63x = 719,738,019,689.06
  5. Step 5: Solve for x
    x = 719,738,019,689.06/580,982.63
  6. Step 6: Final answer
    x = 1,238,828.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.