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Finding the Third Proportional to 485,596 and 735,166.50

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Solution

The third proportional to 485,596 and 735,166.50 is: 1,113,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,596 : 735,166.50 = 735,166.50 : x
  2. Step 2: Convert to fraction form
    485,596/735,166.50 = 735,166.50/x
  3. Step 3: Cross multiply
    485,596x = 735,166.50 × 735,166.50
  4. Step 4: Simplify right side
    485,596x = 540,469,782,722.25
  5. Step 5: Solve for x
    x = 540,469,782,722.25/485,596
  6. Step 6: Final answer
    x = 1,113,002.95

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Why These Related Problems?

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