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Finding the Third Proportional to 234,902 and 500,584

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Solution

The third proportional to 234,902 and 500,584 is: 1,066,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,902 : 500,584 = 500,584 : x
  2. Step 2: Convert to fraction form
    234,902/500,584 = 500,584/x
  3. Step 3: Cross multiply
    234,902x = 500,584 × 500,584
  4. Step 4: Simplify right side
    234,902x = 250,584,341,056
  5. Step 5: Solve for x
    x = 250,584,341,056/234,902
  6. Step 6: Final answer
    x = 1,066,761.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.