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Finding the Third Proportional to 345,729.75 and 466,065.75

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Solution

The third proportional to 345,729.75 and 466,065.75 is: 628,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,729.75 : 466,065.75 = 466,065.75 : x
  2. Step 2: Convert to fraction form
    345,729.75/466,065.75 = 466,065.75/x
  3. Step 3: Cross multiply
    345,729.75x = 466,065.75 × 466,065.75
  4. Step 4: Simplify right side
    345,729.75x = 217,217,283,323.06
  5. Step 5: Solve for x
    x = 217,217,283,323.06/345,729.75
  6. Step 6: Final answer
    x = 628,286.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.