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Finding the Third Proportional to 328,617 and 496,474.31

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Solution

The third proportional to 328,617 and 496,474.31 is: 750,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,617 : 496,474.31 = 496,474.31 : x
  2. Step 2: Convert to fraction form
    328,617/496,474.31 = 496,474.31/x
  3. Step 3: Cross multiply
    328,617x = 496,474.31 × 496,474.31
  4. Step 4: Simplify right side
    328,617x = 246,486,742,972.35
  5. Step 5: Solve for x
    x = 246,486,742,972.35/328,617
  6. Step 6: Final answer
    x = 750,073.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.