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Finding the Third Proportional to 328,429.13 and 498,812.06

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Solution

The third proportional to 328,429.13 and 498,812.06 is: 757,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,429.13 : 498,812.06 = 498,812.06 : x
  2. Step 2: Convert to fraction form
    328,429.13/498,812.06 = 498,812.06/x
  3. Step 3: Cross multiply
    328,429.13x = 498,812.06 × 498,812.06
  4. Step 4: Simplify right side
    328,429.13x = 248,813,473,695.50
  5. Step 5: Solve for x
    x = 248,813,473,695.50/328,429.13
  6. Step 6: Final answer
    x = 757,586.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.