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Finding the Third Proportional to 364,080 and 792,072

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Solution

The third proportional to 364,080 and 792,072 is: 1,723,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,080 : 792,072 = 792,072 : x
  2. Step 2: Convert to fraction form
    364,080/792,072 = 792,072/x
  3. Step 3: Cross multiply
    364,080x = 792,072 × 792,072
  4. Step 4: Simplify right side
    364,080x = 627,378,053,184
  5. Step 5: Solve for x
    x = 627,378,053,184/364,080
  6. Step 6: Final answer
    x = 1,723,187.36

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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.