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Finding the Third Proportional to 570,235.50 and 1,325,940.75

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Solution

The third proportional to 570,235.50 and 1,325,940.75 is: 3,083,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,235.50 : 1,325,940.75 = 1,325,940.75 : x
  2. Step 2: Convert to fraction form
    570,235.50/1,325,940.75 = 1,325,940.75/x
  3. Step 3: Cross multiply
    570,235.50x = 1,325,940.75 × 1,325,940.75
  4. Step 4: Simplify right side
    570,235.50x = 1,758,118,872,510.56
  5. Step 5: Solve for x
    x = 1,758,118,872,510.56/570,235.50
  6. Step 6: Final answer
    x = 3,083,145.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.