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Finding the Third Proportional to 305,971 and 430,113

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Solution

The third proportional to 305,971 and 430,113 is: 604,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,971 : 430,113 = 430,113 : x
  2. Step 2: Convert to fraction form
    305,971/430,113 = 430,113/x
  3. Step 3: Cross multiply
    305,971x = 430,113 × 430,113
  4. Step 4: Simplify right side
    305,971x = 184,997,192,769
  5. Step 5: Solve for x
    x = 184,997,192,769/305,971
  6. Step 6: Final answer
    x = 604,623.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.