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Finding the Third Proportional to 328,476,343.50 and 492,780,246.75

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Solution

The third proportional to 328,476,343.50 and 492,780,246.75 is: 739,268,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,476,343.50 : 492,780,246.75 = 492,780,246.75 : x
  2. Step 2: Convert to fraction form
    328,476,343.50/492,780,246.75 = 492,780,246.75/x
  3. Step 3: Cross multiply
    328,476,343.50x = 492,780,246.75 × 492,780,246.75
  4. Step 4: Simplify right side
    328,476,343.50x = 242,832,371,586,990,880
  5. Step 5: Solve for x
    x = 242,832,371,586,990,880/328,476,343.50
  6. Step 6: Final answer
    x = 739,268,980.53

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