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Finding the Third Proportional to 598,738 and 904,303

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Solution

The third proportional to 598,738 and 904,303 is: 1,365,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,738 : 904,303 = 904,303 : x
  2. Step 2: Convert to fraction form
    598,738/904,303 = 904,303/x
  3. Step 3: Cross multiply
    598,738x = 904,303 × 904,303
  4. Step 4: Simplify right side
    598,738x = 817,763,915,809
  5. Step 5: Solve for x
    x = 817,763,915,809/598,738
  6. Step 6: Final answer
    x = 1,365,812.62

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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.