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Finding the Third Proportional to 433,773 and 648,108

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Solution

The third proportional to 433,773 and 648,108 is: 968,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,773 : 648,108 = 648,108 : x
  2. Step 2: Convert to fraction form
    433,773/648,108 = 648,108/x
  3. Step 3: Cross multiply
    433,773x = 648,108 × 648,108
  4. Step 4: Simplify right side
    433,773x = 420,043,979,664
  5. Step 5: Solve for x
    x = 420,043,979,664/433,773
  6. Step 6: Final answer
    x = 968,349.76

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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.