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Finding the Third Proportional to 485,638 and 735,230

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Solution

The third proportional to 485,638 and 735,230 is: 1,113,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,638 : 735,230 = 735,230 : x
  2. Step 2: Convert to fraction form
    485,638/735,230 = 735,230/x
  3. Step 3: Cross multiply
    485,638x = 735,230 × 735,230
  4. Step 4: Simplify right side
    485,638x = 540,563,152,900
  5. Step 5: Solve for x
    x = 540,563,152,900/485,638
  6. Step 6: Final answer
    x = 1,113,098.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.