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Finding the Third Proportional to 389,541 and 608,915

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Solution

The third proportional to 389,541 and 608,915 is: 951,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,541 : 608,915 = 608,915 : x
  2. Step 2: Convert to fraction form
    389,541/608,915 = 608,915/x
  3. Step 3: Cross multiply
    389,541x = 608,915 × 608,915
  4. Step 4: Simplify right side
    389,541x = 370,777,477,225
  5. Step 5: Solve for x
    x = 370,777,477,225/389,541
  6. Step 6: Final answer
    x = 951,831.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.