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Finding the Third Proportional to 233,478 and 356,995

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Solution

The third proportional to 233,478 and 356,995 is: 545,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,478 : 356,995 = 356,995 : x
  2. Step 2: Convert to fraction form
    233,478/356,995 = 356,995/x
  3. Step 3: Cross multiply
    233,478x = 356,995 × 356,995
  4. Step 4: Simplify right side
    233,478x = 127,445,430,025
  5. Step 5: Solve for x
    x = 127,445,430,025/233,478
  6. Step 6: Final answer
    x = 545,856.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.