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Finding the Third Proportional to 328,635 and 496,508.06

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Solution

The third proportional to 328,635 and 496,508.06 is: 750,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,635 : 496,508.06 = 496,508.06 : x
  2. Step 2: Convert to fraction form
    328,635/496,508.06 = 496,508.06/x
  3. Step 3: Cross multiply
    328,635x = 496,508.06 × 496,508.06
  4. Step 4: Simplify right side
    328,635x = 246,520,256,127.50
  5. Step 5: Solve for x
    x = 246,520,256,127.50/328,635
  6. Step 6: Final answer
    x = 750,133.91

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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.