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Finding the Third Proportional to 320,274 and 463,887

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Solution

The third proportional to 320,274 and 463,887 is: 671,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,274 : 463,887 = 463,887 : x
  2. Step 2: Convert to fraction form
    320,274/463,887 = 463,887/x
  3. Step 3: Cross multiply
    320,274x = 463,887 × 463,887
  4. Step 4: Simplify right side
    320,274x = 215,191,148,769
  5. Step 5: Solve for x
    x = 215,191,148,769/320,274
  6. Step 6: Final answer
    x = 671,897.03

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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.