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Finding the Third Proportional to 407,422 and 958,731

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Solution

The third proportional to 407,422 and 958,731 is: 2,256,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,422 : 958,731 = 958,731 : x
  2. Step 2: Convert to fraction form
    407,422/958,731 = 958,731/x
  3. Step 3: Cross multiply
    407,422x = 958,731 × 958,731
  4. Step 4: Simplify right side
    407,422x = 919,165,130,361
  5. Step 5: Solve for x
    x = 919,165,130,361/407,422
  6. Step 6: Final answer
    x = 2,256,051.79

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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.