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Finding the Third Proportional to 582,766 and 900,024

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Solution

The third proportional to 582,766 and 900,024 is: 1,389,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,766 : 900,024 = 900,024 : x
  2. Step 2: Convert to fraction form
    582,766/900,024 = 900,024/x
  3. Step 3: Cross multiply
    582,766x = 900,024 × 900,024
  4. Step 4: Simplify right side
    582,766x = 810,043,200,576
  5. Step 5: Solve for x
    x = 810,043,200,576/582,766
  6. Step 6: Final answer
    x = 1,389,997.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.