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Finding the Third Proportional to 328,442 and 705,996

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Solution

The third proportional to 328,442 and 705,996 is: 1,517,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,442 : 705,996 = 705,996 : x
  2. Step 2: Convert to fraction form
    328,442/705,996 = 705,996/x
  3. Step 3: Cross multiply
    328,442x = 705,996 × 705,996
  4. Step 4: Simplify right side
    328,442x = 498,430,352,016
  5. Step 5: Solve for x
    x = 498,430,352,016/328,442
  6. Step 6: Final answer
    x = 1,517,559.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.