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Finding the Third Proportional to 328,052.85 and 492,079.27

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Solution

The third proportional to 328,052.85 and 492,079.27 is: 738,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,052.85 : 492,079.27 = 492,079.27 : x
  2. Step 2: Convert to fraction form
    328,052.85/492,079.27 = 492,079.27/x
  3. Step 3: Cross multiply
    328,052.85x = 492,079.27 × 492,079.27
  4. Step 4: Simplify right side
    328,052.85x = 242,142,009,424.58
  5. Step 5: Solve for x
    x = 242,142,009,424.58/328,052.85
  6. Step 6: Final answer
    x = 738,118.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.