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Finding the Third Proportional to 408,148.50 and 953,094

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Solution

The third proportional to 408,148.50 and 953,094 is: 2,225,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,148.50 : 953,094 = 953,094 : x
  2. Step 2: Convert to fraction form
    408,148.50/953,094 = 953,094/x
  3. Step 3: Cross multiply
    408,148.50x = 953,094 × 953,094
  4. Step 4: Simplify right side
    408,148.50x = 908,388,172,836
  5. Step 5: Solve for x
    x = 908,388,172,836/408,148.50
  6. Step 6: Final answer
    x = 2,225,631.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.