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Finding the Third Proportional to 314,516 and 679,096

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Solution

The third proportional to 314,516 and 679,096 is: 1,466,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,516 : 679,096 = 679,096 : x
  2. Step 2: Convert to fraction form
    314,516/679,096 = 679,096/x
  3. Step 3: Cross multiply
    314,516x = 679,096 × 679,096
  4. Step 4: Simplify right side
    314,516x = 461,171,377,216
  5. Step 5: Solve for x
    x = 461,171,377,216/314,516
  6. Step 6: Final answer
    x = 1,466,289.08

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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.