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Finding the Third Proportional to 359,932 and 511,692

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Solution

The third proportional to 359,932 and 511,692 is: 727,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,932 : 511,692 = 511,692 : x
  2. Step 2: Convert to fraction form
    359,932/511,692 = 511,692/x
  3. Step 3: Cross multiply
    359,932x = 511,692 × 511,692
  4. Step 4: Simplify right side
    359,932x = 261,828,702,864
  5. Step 5: Solve for x
    x = 261,828,702,864/359,932
  6. Step 6: Final answer
    x = 727,439.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.