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Finding the Third Proportional to 580,542.75 and 1,311,598.69

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Solution

The third proportional to 580,542.75 and 1,311,598.69 is: 2,963,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,542.75 : 1,311,598.69 = 1,311,598.69 : x
  2. Step 2: Convert to fraction form
    580,542.75/1,311,598.69 = 1,311,598.69/x
  3. Step 3: Cross multiply
    580,542.75x = 1,311,598.69 × 1,311,598.69
  4. Step 4: Simplify right side
    580,542.75x = 1,720,291,117,051.72
  5. Step 5: Solve for x
    x = 1,720,291,117,051.72/580,542.75
  6. Step 6: Final answer
    x = 2,963,246.23

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.