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Finding the Third Proportional to 340,953 and 511,429.50

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Solution

The third proportional to 340,953 and 511,429.50 is: 767,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,953 : 511,429.50 = 511,429.50 : x
  2. Step 2: Convert to fraction form
    340,953/511,429.50 = 511,429.50/x
  3. Step 3: Cross multiply
    340,953x = 511,429.50 × 511,429.50
  4. Step 4: Simplify right side
    340,953x = 261,560,133,470.25
  5. Step 5: Solve for x
    x = 261,560,133,470.25/340,953
  6. Step 6: Final answer
    x = 767,144.25

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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.