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Finding the Third Proportional to 328,368.94 and 419,585.06

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Solution

The third proportional to 328,368.94 and 419,585.06 is: 536,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,368.94 : 419,585.06 = 419,585.06 : x
  2. Step 2: Convert to fraction form
    328,368.94/419,585.06 = 419,585.06/x
  3. Step 3: Cross multiply
    328,368.94x = 419,585.06 × 419,585.06
  4. Step 4: Simplify right side
    328,368.94x = 176,051,624,673.13
  5. Step 5: Solve for x
    x = 176,051,624,673.13/328,368.94
  6. Step 6: Final answer
    x = 536,139.70

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.