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Finding the Third Proportional to 370,380 and 542,406

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Solution

The third proportional to 370,380 and 542,406 is: 794,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,380 : 542,406 = 542,406 : x
  2. Step 2: Convert to fraction form
    370,380/542,406 = 542,406/x
  3. Step 3: Cross multiply
    370,380x = 542,406 × 542,406
  4. Step 4: Simplify right side
    370,380x = 294,204,268,836
  5. Step 5: Solve for x
    x = 294,204,268,836/370,380
  6. Step 6: Final answer
    x = 794,330.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.