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Finding the Third Proportional to 598,959 and 904,680

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Solution

The third proportional to 598,959 and 904,680 is: 1,366,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,959 : 904,680 = 904,680 : x
  2. Step 2: Convert to fraction form
    598,959/904,680 = 904,680/x
  3. Step 3: Cross multiply
    598,959x = 904,680 × 904,680
  4. Step 4: Simplify right side
    598,959x = 818,445,902,400
  5. Step 5: Solve for x
    x = 818,445,902,400/598,959
  6. Step 6: Final answer
    x = 1,366,447.29

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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.