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Finding the Third Proportional to 312,188 and 663,250

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Solution

The third proportional to 312,188 and 663,250 is: 1,409,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,188 : 663,250 = 663,250 : x
  2. Step 2: Convert to fraction form
    312,188/663,250 = 663,250/x
  3. Step 3: Cross multiply
    312,188x = 663,250 × 663,250
  4. Step 4: Simplify right side
    312,188x = 439,900,562,500
  5. Step 5: Solve for x
    x = 439,900,562,500/312,188
  6. Step 6: Final answer
    x = 1,409,088.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.