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Finding the Third Proportional to 633,244 and 927,690

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Solution

The third proportional to 633,244 and 927,690 is: 1,359,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,244 : 927,690 = 927,690 : x
  2. Step 2: Convert to fraction form
    633,244/927,690 = 927,690/x
  3. Step 3: Cross multiply
    633,244x = 927,690 × 927,690
  4. Step 4: Simplify right side
    633,244x = 860,608,736,100
  5. Step 5: Solve for x
    x = 860,608,736,100/633,244
  6. Step 6: Final answer
    x = 1,359,047.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.