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Finding the Third Proportional to 305,955 and 430,092

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Solution

The third proportional to 305,955 and 430,092 is: 604,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,955 : 430,092 = 430,092 : x
  2. Step 2: Convert to fraction form
    305,955/430,092 = 430,092/x
  3. Step 3: Cross multiply
    305,955x = 430,092 × 430,092
  4. Step 4: Simplify right side
    305,955x = 184,979,128,464
  5. Step 5: Solve for x
    x = 184,979,128,464/305,955
  6. Step 6: Final answer
    x = 604,595.87

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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.