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Finding the Third Proportional to 245,400 and 519,094

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Solution

The third proportional to 245,400 and 519,094 is: 1,098,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,400 : 519,094 = 519,094 : x
  2. Step 2: Convert to fraction form
    245,400/519,094 = 519,094/x
  3. Step 3: Cross multiply
    245,400x = 519,094 × 519,094
  4. Step 4: Simplify right side
    245,400x = 269,458,580,836
  5. Step 5: Solve for x
    x = 269,458,580,836/245,400
  6. Step 6: Final answer
    x = 1,098,038.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.