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Finding the Third Proportional to 300,672 and 463,968

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Solution

The third proportional to 300,672 and 463,968 is: 715,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,672 : 463,968 = 463,968 : x
  2. Step 2: Convert to fraction form
    300,672/463,968 = 463,968/x
  3. Step 3: Cross multiply
    300,672x = 463,968 × 463,968
  4. Step 4: Simplify right side
    300,672x = 215,266,305,024
  5. Step 5: Solve for x
    x = 215,266,305,024/300,672
  6. Step 6: Final answer
    x = 715,950.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.