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Finding the Third Proportional to 340,948 and 511,422

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Solution

The third proportional to 340,948 and 511,422 is: 767,133

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,948 : 511,422 = 511,422 : x
  2. Step 2: Convert to fraction form
    340,948/511,422 = 511,422/x
  3. Step 3: Cross multiply
    340,948x = 511,422 × 511,422
  4. Step 4: Simplify right side
    340,948x = 261,552,462,084
  5. Step 5: Solve for x
    x = 261,552,462,084/340,948
  6. Step 6: Final answer
    x = 767,133

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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.