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Finding the Third Proportional to 598,855 and 904,520

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Solution

The third proportional to 598,855 and 904,520 is: 1,366,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,855 : 904,520 = 904,520 : x
  2. Step 2: Convert to fraction form
    598,855/904,520 = 904,520/x
  3. Step 3: Cross multiply
    598,855x = 904,520 × 904,520
  4. Step 4: Simplify right side
    598,855x = 818,156,430,400
  5. Step 5: Solve for x
    x = 818,156,430,400/598,855
  6. Step 6: Final answer
    x = 1,366,201.22

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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.