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Finding the Third Proportional to 375,972 and 582,539

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Solution

The third proportional to 375,972 and 582,539 is: 902,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,972 : 582,539 = 582,539 : x
  2. Step 2: Convert to fraction form
    375,972/582,539 = 582,539/x
  3. Step 3: Cross multiply
    375,972x = 582,539 × 582,539
  4. Step 4: Simplify right side
    375,972x = 339,351,686,521
  5. Step 5: Solve for x
    x = 339,351,686,521/375,972
  6. Step 6: Final answer
    x = 902,598.30

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