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Finding the Third Proportional to 294,670 and 453,192

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Solution

The third proportional to 294,670 and 453,192 is: 696,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,670 : 453,192 = 453,192 : x
  2. Step 2: Convert to fraction form
    294,670/453,192 = 453,192/x
  3. Step 3: Cross multiply
    294,670x = 453,192 × 453,192
  4. Step 4: Simplify right side
    294,670x = 205,382,988,864
  5. Step 5: Solve for x
    x = 205,382,988,864/294,670
  6. Step 6: Final answer
    x = 696,993.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.