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Finding the Third Proportional to 320,156 and 463,704

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Solution

The third proportional to 320,156 and 463,704 is: 671,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,156 : 463,704 = 463,704 : x
  2. Step 2: Convert to fraction form
    320,156/463,704 = 463,704/x
  3. Step 3: Cross multiply
    320,156x = 463,704 × 463,704
  4. Step 4: Simplify right side
    320,156x = 215,021,399,616
  5. Step 5: Solve for x
    x = 215,021,399,616/320,156
  6. Step 6: Final answer
    x = 671,614.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.