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Finding the Third Proportional to 369,096 and 807,120

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Solution

The third proportional to 369,096 and 807,120 is: 1,764,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,096 : 807,120 = 807,120 : x
  2. Step 2: Convert to fraction form
    369,096/807,120 = 807,120/x
  3. Step 3: Cross multiply
    369,096x = 807,120 × 807,120
  4. Step 4: Simplify right side
    369,096x = 651,442,694,400
  5. Step 5: Solve for x
    x = 651,442,694,400/369,096
  6. Step 6: Final answer
    x = 1,764,968.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.