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Finding the Third Proportional to 598,672 and 904,227

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Solution

The third proportional to 598,672 and 904,227 is: 1,365,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,672 : 904,227 = 904,227 : x
  2. Step 2: Convert to fraction form
    598,672/904,227 = 904,227/x
  3. Step 3: Cross multiply
    598,672x = 904,227 × 904,227
  4. Step 4: Simplify right side
    598,672x = 817,626,467,529
  5. Step 5: Solve for x
    x = 817,626,467,529/598,672
  6. Step 6: Final answer
    x = 1,365,733.60

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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.