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Finding the Third Proportional to 334,725.50 and 509,928.75

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Solution

The third proportional to 334,725.50 and 509,928.75 is: 776,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,725.50 : 509,928.75 = 509,928.75 : x
  2. Step 2: Convert to fraction form
    334,725.50/509,928.75 = 509,928.75/x
  3. Step 3: Cross multiply
    334,725.50x = 509,928.75 × 509,928.75
  4. Step 4: Simplify right side
    334,725.50x = 260,027,330,076.56
  5. Step 5: Solve for x
    x = 260,027,330,076.56/334,725.50
  6. Step 6: Final answer
    x = 776,837.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.