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Finding the Third Proportional to 580,560.75 and 1,366,004.25

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Solution

The third proportional to 580,560.75 and 1,366,004.25 is: 3,214,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,560.75 : 1,366,004.25 = 1,366,004.25 : x
  2. Step 2: Convert to fraction form
    580,560.75/1,366,004.25 = 1,366,004.25/x
  3. Step 3: Cross multiply
    580,560.75x = 1,366,004.25 × 1,366,004.25
  4. Step 4: Simplify right side
    580,560.75x = 1,865,967,611,018.06
  5. Step 5: Solve for x
    x = 1,865,967,611,018.06/580,560.75
  6. Step 6: Final answer
    x = 3,214,078.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.