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Finding the Third Proportional to 328,532.27 and 480,325.66

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Solution

The third proportional to 328,532.27 and 480,325.66 is: 702,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,532.27 : 480,325.66 = 480,325.66 : x
  2. Step 2: Convert to fraction form
    328,532.27/480,325.66 = 480,325.66/x
  3. Step 3: Cross multiply
    328,532.27x = 480,325.66 × 480,325.66
  4. Step 4: Simplify right side
    328,532.27x = 230,712,742,149.89
  5. Step 5: Solve for x
    x = 230,712,742,149.89/328,532.27
  6. Step 6: Final answer
    x = 702,252.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.