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Finding the Third Proportional to 235,719 and 509,094

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Solution

The third proportional to 235,719 and 509,094 is: 1,099,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,719 : 509,094 = 509,094 : x
  2. Step 2: Convert to fraction form
    235,719/509,094 = 509,094/x
  3. Step 3: Cross multiply
    235,719x = 509,094 × 509,094
  4. Step 4: Simplify right side
    235,719x = 259,176,700,836
  5. Step 5: Solve for x
    x = 259,176,700,836/235,719
  6. Step 6: Final answer
    x = 1,099,515.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.