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Finding the Third Proportional to 340,718.06 and 511,896.38

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Solution

The third proportional to 340,718.06 and 511,896.38 is: 769,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,718.06 : 511,896.38 = 511,896.38 : x
  2. Step 2: Convert to fraction form
    340,718.06/511,896.38 = 511,896.38/x
  3. Step 3: Cross multiply
    340,718.06x = 511,896.38 × 511,896.38
  4. Step 4: Simplify right side
    340,718.06x = 262,037,898,738.14
  5. Step 5: Solve for x
    x = 262,037,898,738.14/340,718.06
  6. Step 6: Final answer
    x = 769,075.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.