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Finding the Third Proportional to 312,084 and 673,876.50

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Solution

The third proportional to 312,084 and 673,876.50 is: 1,455,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,084 : 673,876.50 = 673,876.50 : x
  2. Step 2: Convert to fraction form
    312,084/673,876.50 = 673,876.50/x
  3. Step 3: Cross multiply
    312,084x = 673,876.50 × 673,876.50
  4. Step 4: Simplify right side
    312,084x = 454,109,537,252.25
  5. Step 5: Solve for x
    x = 454,109,537,252.25/312,084
  6. Step 6: Final answer
    x = 1,455,087.53

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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.