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Finding the Third Proportional to 407,650 and 959,178

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Solution

The third proportional to 407,650 and 959,178 is: 2,256,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,650 : 959,178 = 959,178 : x
  2. Step 2: Convert to fraction form
    407,650/959,178 = 959,178/x
  3. Step 3: Cross multiply
    407,650x = 959,178 × 959,178
  4. Step 4: Simplify right side
    407,650x = 920,022,435,684
  5. Step 5: Solve for x
    x = 920,022,435,684/407,650
  6. Step 6: Final answer
    x = 2,256,893.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.