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Finding the Third Proportional to 262,428.75 and 574,758.75

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Solution

The third proportional to 262,428.75 and 574,758.75 is: 1,258,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,428.75 : 574,758.75 = 574,758.75 : x
  2. Step 2: Convert to fraction form
    262,428.75/574,758.75 = 574,758.75/x
  3. Step 3: Cross multiply
    262,428.75x = 574,758.75 × 574,758.75
  4. Step 4: Simplify right side
    262,428.75x = 330,347,620,701.56
  5. Step 5: Solve for x
    x = 330,347,620,701.56/262,428.75
  6. Step 6: Final answer
    x = 1,258,808.80

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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.