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Finding the Third Proportional to 262,607.63 and 576,275.63

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Solution

The third proportional to 262,607.63 and 576,275.63 is: 1,264,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,607.63 : 576,275.63 = 576,275.63 : x
  2. Step 2: Convert to fraction form
    262,607.63/576,275.63 = 576,275.63/x
  3. Step 3: Cross multiply
    262,607.63x = 576,275.63 × 576,275.63
  4. Step 4: Simplify right side
    262,607.63x = 332,093,595,969.14
  5. Step 5: Solve for x
    x = 332,093,595,969.14/262,607.63
  6. Step 6: Final answer
    x = 1,264,599.97

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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.