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Finding the Third Proportional to 407,576 and 959,008

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Solution

The third proportional to 407,576 and 959,008 is: 2,256,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,576 : 959,008 = 959,008 : x
  2. Step 2: Convert to fraction form
    407,576/959,008 = 959,008/x
  3. Step 3: Cross multiply
    407,576x = 959,008 × 959,008
  4. Step 4: Simplify right side
    407,576x = 919,696,344,064
  5. Step 5: Solve for x
    x = 919,696,344,064/407,576
  6. Step 6: Final answer
    x = 2,256,502.70

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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.