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Finding the Third Proportional to 598,950 and 904,650

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Solution

The third proportional to 598,950 and 904,650 is: 1,366,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,950 : 904,650 = 904,650 : x
  2. Step 2: Convert to fraction form
    598,950/904,650 = 904,650/x
  3. Step 3: Cross multiply
    598,950x = 904,650 × 904,650
  4. Step 4: Simplify right side
    598,950x = 818,391,622,500
  5. Step 5: Solve for x
    x = 818,391,622,500/598,950
  6. Step 6: Final answer
    x = 1,366,377.20

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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.