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Finding the Third Proportional to 350,926 and 488,944

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Solution

The third proportional to 350,926 and 488,944 is: 681,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,926 : 488,944 = 488,944 : x
  2. Step 2: Convert to fraction form
    350,926/488,944 = 488,944/x
  3. Step 3: Cross multiply
    350,926x = 488,944 × 488,944
  4. Step 4: Simplify right side
    350,926x = 239,066,235,136
  5. Step 5: Solve for x
    x = 239,066,235,136/350,926
  6. Step 6: Final answer
    x = 681,244.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.