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Finding the Third Proportional to 598,670.16 and 904,224.09

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Solution

The third proportional to 598,670.16 and 904,224.09 is: 1,365,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,670.16 : 904,224.09 = 904,224.09 : x
  2. Step 2: Convert to fraction form
    598,670.16/904,224.09 = 904,224.09/x
  3. Step 3: Cross multiply
    598,670.16x = 904,224.09 × 904,224.09
  4. Step 4: Simplify right side
    598,670.16x = 817,621,211,718.01
  5. Step 5: Solve for x
    x = 817,621,211,718.01/598,670.16
  6. Step 6: Final answer
    x = 1,365,729.03

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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.