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Finding the Third Proportional to 428,658.75 and 931,191.75

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Solution

The third proportional to 428,658.75 and 931,191.75 is: 2,022,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,658.75 : 931,191.75 = 931,191.75 : x
  2. Step 2: Convert to fraction form
    428,658.75/931,191.75 = 931,191.75/x
  3. Step 3: Cross multiply
    428,658.75x = 931,191.75 × 931,191.75
  4. Step 4: Simplify right side
    428,658.75x = 867,118,075,268.06
  5. Step 5: Solve for x
    x = 867,118,075,268.06/428,658.75
  6. Step 6: Final answer
    x = 2,022,863.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.