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Finding the Third Proportional to 372,651 and 804,310

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Solution

The third proportional to 372,651 and 804,310 is: 1,735,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,651 : 804,310 = 804,310 : x
  2. Step 2: Convert to fraction form
    372,651/804,310 = 804,310/x
  3. Step 3: Cross multiply
    372,651x = 804,310 × 804,310
  4. Step 4: Simplify right side
    372,651x = 646,914,576,100
  5. Step 5: Solve for x
    x = 646,914,576,100/372,651
  6. Step 6: Final answer
    x = 1,735,979.71

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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.