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Finding the Third Proportional to 262,959.75 and 575,973.75

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Solution

The third proportional to 262,959.75 and 575,973.75 is: 1,261,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,959.75 : 575,973.75 = 575,973.75 : x
  2. Step 2: Convert to fraction form
    262,959.75/575,973.75 = 575,973.75/x
  3. Step 3: Cross multiply
    262,959.75x = 575,973.75 × 575,973.75
  4. Step 4: Simplify right side
    262,959.75x = 331,745,760,689.06
  5. Step 5: Solve for x
    x = 331,745,760,689.06/262,959.75
  6. Step 6: Final answer
    x = 1,261,583.80

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