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Finding the Third Proportional to 313,068 and 677,184

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Solution

The third proportional to 313,068 and 677,184 is: 1,464,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,068 : 677,184 = 677,184 : x
  2. Step 2: Convert to fraction form
    313,068/677,184 = 677,184/x
  3. Step 3: Cross multiply
    313,068x = 677,184 × 677,184
  4. Step 4: Simplify right side
    313,068x = 458,578,169,856
  5. Step 5: Solve for x
    x = 458,578,169,856/313,068
  6. Step 6: Final answer
    x = 1,464,787.75

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Why These Related Problems?

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