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Finding the Third Proportional to 263,028 and 575,275

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Solution

The third proportional to 263,028 and 575,275 is: 1,258,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,028 : 575,275 = 575,275 : x
  2. Step 2: Convert to fraction form
    263,028/575,275 = 575,275/x
  3. Step 3: Cross multiply
    263,028x = 575,275 × 575,275
  4. Step 4: Simplify right side
    263,028x = 330,941,325,625
  5. Step 5: Solve for x
    x = 330,941,325,625/263,028
  6. Step 6: Final answer
    x = 1,258,198.08

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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.