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Finding the Third Proportional to 598,674 and 904,230

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Solution

The third proportional to 598,674 and 904,230 is: 1,365,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,674 : 904,230 = 904,230 : x
  2. Step 2: Convert to fraction form
    598,674/904,230 = 904,230/x
  3. Step 3: Cross multiply
    598,674x = 904,230 × 904,230
  4. Step 4: Simplify right side
    598,674x = 817,631,892,900
  5. Step 5: Solve for x
    x = 817,631,892,900/598,674
  6. Step 6: Final answer
    x = 1,365,738.10

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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.