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Finding the Third Proportional to 276,369 and 585,955

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Solution

The third proportional to 276,369 and 585,955 is: 1,242,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,369 : 585,955 = 585,955 : x
  2. Step 2: Convert to fraction form
    276,369/585,955 = 585,955/x
  3. Step 3: Cross multiply
    276,369x = 585,955 × 585,955
  4. Step 4: Simplify right side
    276,369x = 343,343,262,025
  5. Step 5: Solve for x
    x = 343,343,262,025/276,369
  6. Step 6: Final answer
    x = 1,242,336.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.