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Finding the Third Proportional to 263,004.47 and 575,213.91

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Solution

The third proportional to 263,004.47 and 575,213.91 is: 1,258,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,004.47 : 575,213.91 = 575,213.91 : x
  2. Step 2: Convert to fraction form
    263,004.47/575,213.91 = 575,213.91/x
  3. Step 3: Cross multiply
    263,004.47x = 575,213.91 × 575,213.91
  4. Step 4: Simplify right side
    263,004.47x = 330,871,037,943.38
  5. Step 5: Solve for x
    x = 330,871,037,943.38/263,004.47
  6. Step 6: Final answer
    x = 1,258,043.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.