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Finding the Third Proportional to 598,238.47 and 904,478.27

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Solution

The third proportional to 598,238.47 and 904,478.27 is: 1,367,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,238.47 : 904,478.27 = 904,478.27 : x
  2. Step 2: Convert to fraction form
    598,238.47/904,478.27 = 904,478.27/x
  3. Step 3: Cross multiply
    598,238.47x = 904,478.27 × 904,478.27
  4. Step 4: Simplify right side
    598,238.47x = 818,080,947,120.48
  5. Step 5: Solve for x
    x = 818,080,947,120.48/598,238.47
  6. Step 6: Final answer
    x = 1,367,483.01

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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.