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Finding the Third Proportional to 419,305 and 558,650

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Solution

The third proportional to 419,305 and 558,650 is: 744,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,305 : 558,650 = 558,650 : x
  2. Step 2: Convert to fraction form
    419,305/558,650 = 558,650/x
  3. Step 3: Cross multiply
    419,305x = 558,650 × 558,650
  4. Step 4: Simplify right side
    419,305x = 312,089,822,500
  5. Step 5: Solve for x
    x = 312,089,822,500/419,305
  6. Step 6: Final answer
    x = 744,302.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.