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Finding the Third Proportional to 478,433 and 650,041

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Solution

The third proportional to 478,433 and 650,041 is: 883,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,433 : 650,041 = 650,041 : x
  2. Step 2: Convert to fraction form
    478,433/650,041 = 650,041/x
  3. Step 3: Cross multiply
    478,433x = 650,041 × 650,041
  4. Step 4: Simplify right side
    478,433x = 422,553,301,681
  5. Step 5: Solve for x
    x = 422,553,301,681/478,433
  6. Step 6: Final answer
    x = 883,202.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.