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Finding the Third Proportional to 263,806.88 and 577,246.50

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Solution

The third proportional to 263,806.88 and 577,246.50 is: 1,263,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,806.88 : 577,246.50 = 577,246.50 : x
  2. Step 2: Convert to fraction form
    263,806.88/577,246.50 = 577,246.50/x
  3. Step 3: Cross multiply
    263,806.88x = 577,246.50 × 577,246.50
  4. Step 4: Simplify right side
    263,806.88x = 333,213,521,762.25
  5. Step 5: Solve for x
    x = 333,213,521,762.25/263,806.88
  6. Step 6: Final answer
    x = 1,263,096.43

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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.