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Finding the Third Proportional to 598,963 and 904,682

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Solution

The third proportional to 598,963 and 904,682 is: 1,366,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,963 : 904,682 = 904,682 : x
  2. Step 2: Convert to fraction form
    598,963/904,682 = 904,682/x
  3. Step 3: Cross multiply
    598,963x = 904,682 × 904,682
  4. Step 4: Simplify right side
    598,963x = 818,449,521,124
  5. Step 5: Solve for x
    x = 818,449,521,124/598,963
  6. Step 6: Final answer
    x = 1,366,444.21

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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.