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Finding the Third Proportional to 525,759.75 and 1,143,783.75

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Solution

The third proportional to 525,759.75 and 1,143,783.75 is: 2,488,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,759.75 : 1,143,783.75 = 1,143,783.75 : x
  2. Step 2: Convert to fraction form
    525,759.75/1,143,783.75 = 1,143,783.75/x
  3. Step 3: Cross multiply
    525,759.75x = 1,143,783.75 × 1,143,783.75
  4. Step 4: Simplify right side
    525,759.75x = 1,308,241,266,764.06
  5. Step 5: Solve for x
    x = 1,308,241,266,764.06/525,759.75
  6. Step 6: Final answer
    x = 2,488,287.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.