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Finding the Third Proportional to 363,078 and 542,430

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Solution

The third proportional to 363,078 and 542,430 is: 810,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,078 : 542,430 = 542,430 : x
  2. Step 2: Convert to fraction form
    363,078/542,430 = 542,430/x
  3. Step 3: Cross multiply
    363,078x = 542,430 × 542,430
  4. Step 4: Simplify right side
    363,078x = 294,230,304,900
  5. Step 5: Solve for x
    x = 294,230,304,900/363,078
  6. Step 6: Final answer
    x = 810,377.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.