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Finding the Third Proportional to 582,372 and 904,662

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Solution

The third proportional to 582,372 and 904,662 is: 1,405,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,372 : 904,662 = 904,662 : x
  2. Step 2: Convert to fraction form
    582,372/904,662 = 904,662/x
  3. Step 3: Cross multiply
    582,372x = 904,662 × 904,662
  4. Step 4: Simplify right side
    582,372x = 818,413,334,244
  5. Step 5: Solve for x
    x = 818,413,334,244/582,372
  6. Step 6: Final answer
    x = 1,405,310.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.