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Finding the Third Proportional to 340,960 and 511,440

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Solution

The third proportional to 340,960 and 511,440 is: 767,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,960 : 511,440 = 511,440 : x
  2. Step 2: Convert to fraction form
    340,960/511,440 = 511,440/x
  3. Step 3: Cross multiply
    340,960x = 511,440 × 511,440
  4. Step 4: Simplify right side
    340,960x = 261,570,873,600
  5. Step 5: Solve for x
    x = 261,570,873,600/340,960
  6. Step 6: Final answer
    x = 767,160

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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.