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Finding the Third Proportional to 830,155.50 and 1,269,324

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Solution

The third proportional to 830,155.50 and 1,269,324 is: 1,940,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,155.50 : 1,269,324 = 1,269,324 : x
  2. Step 2: Convert to fraction form
    830,155.50/1,269,324 = 1,269,324/x
  3. Step 3: Cross multiply
    830,155.50x = 1,269,324 × 1,269,324
  4. Step 4: Simplify right side
    830,155.50x = 1,611,183,416,976
  5. Step 5: Solve for x
    x = 1,611,183,416,976/830,155.50
  6. Step 6: Final answer
    x = 1,940,821.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.