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Finding the Third Proportional to 314,491.50 and 679,041

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Solution

The third proportional to 314,491.50 and 679,041 is: 1,466,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,491.50 : 679,041 = 679,041 : x
  2. Step 2: Convert to fraction form
    314,491.50/679,041 = 679,041/x
  3. Step 3: Cross multiply
    314,491.50x = 679,041 × 679,041
  4. Step 4: Simplify right side
    314,491.50x = 461,096,679,681
  5. Step 5: Solve for x
    x = 461,096,679,681/314,491.50
  6. Step 6: Final answer
    x = 1,466,165.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.