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Finding the Third Proportional to 598,672 and 904,228

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Solution

The third proportional to 598,672 and 904,228 is: 1,365,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,672 : 904,228 = 904,228 : x
  2. Step 2: Convert to fraction form
    598,672/904,228 = 904,228/x
  3. Step 3: Cross multiply
    598,672x = 904,228 × 904,228
  4. Step 4: Simplify right side
    598,672x = 817,628,275,984
  5. Step 5: Solve for x
    x = 817,628,275,984/598,672
  6. Step 6: Final answer
    x = 1,365,736.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.