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Finding the Third Proportional to 372,655 and 804,324

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Solution

The third proportional to 372,655 and 804,324 is: 1,736,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,655 : 804,324 = 804,324 : x
  2. Step 2: Convert to fraction form
    372,655/804,324 = 804,324/x
  3. Step 3: Cross multiply
    372,655x = 804,324 × 804,324
  4. Step 4: Simplify right side
    372,655x = 646,937,096,976
  5. Step 5: Solve for x
    x = 646,937,096,976/372,655
  6. Step 6: Final answer
    x = 1,736,021.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.