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Finding the Third Proportional to 237,432 and 511,728

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Solution

The third proportional to 237,432 and 511,728 is: 1,102,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,432 : 511,728 = 511,728 : x
  2. Step 2: Convert to fraction form
    237,432/511,728 = 511,728/x
  3. Step 3: Cross multiply
    237,432x = 511,728 × 511,728
  4. Step 4: Simplify right side
    237,432x = 261,865,545,984
  5. Step 5: Solve for x
    x = 261,865,545,984/237,432
  6. Step 6: Final answer
    x = 1,102,907.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.