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Finding the Third Proportional to 340,963 and 511,444

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Solution

The third proportional to 340,963 and 511,444 is: 767,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,963 : 511,444 = 511,444 : x
  2. Step 2: Convert to fraction form
    340,963/511,444 = 511,444/x
  3. Step 3: Cross multiply
    340,963x = 511,444 × 511,444
  4. Step 4: Simplify right side
    340,963x = 261,574,965,136
  5. Step 5: Solve for x
    x = 261,574,965,136/340,963
  6. Step 6: Final answer
    x = 767,165.25

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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.