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Finding the Third Proportional to 312,821 and 687,850

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Solution

The third proportional to 312,821 and 687,850 is: 1,512,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,821 : 687,850 = 687,850 : x
  2. Step 2: Convert to fraction form
    312,821/687,850 = 687,850/x
  3. Step 3: Cross multiply
    312,821x = 687,850 × 687,850
  4. Step 4: Simplify right side
    312,821x = 473,137,622,500
  5. Step 5: Solve for x
    x = 473,137,622,500/312,821
  6. Step 6: Final answer
    x = 1,512,486.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.