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Finding the Third Proportional to 368,790 and 804,318

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Solution

The third proportional to 368,790 and 804,318 is: 1,754,189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,790 : 804,318 = 804,318 : x
  2. Step 2: Convert to fraction form
    368,790/804,318 = 804,318/x
  3. Step 3: Cross multiply
    368,790x = 804,318 × 804,318
  4. Step 4: Simplify right side
    368,790x = 646,927,445,124
  5. Step 5: Solve for x
    x = 646,927,445,124/368,790
  6. Step 6: Final answer
    x = 1,754,189.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.