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Finding the Third Proportional to 329,091 and 719,094

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Solution

The third proportional to 329,091 and 719,094 is: 1,571,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,091 : 719,094 = 719,094 : x
  2. Step 2: Convert to fraction form
    329,091/719,094 = 719,094/x
  3. Step 3: Cross multiply
    329,091x = 719,094 × 719,094
  4. Step 4: Simplify right side
    329,091x = 517,096,180,836
  5. Step 5: Solve for x
    x = 517,096,180,836/329,091
  6. Step 6: Final answer
    x = 1,571,286.30

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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.