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Finding the Third Proportional to 296,904 and 458,694

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Solution

The third proportional to 296,904 and 458,694 is: 708,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,904 : 458,694 = 458,694 : x
  2. Step 2: Convert to fraction form
    296,904/458,694 = 458,694/x
  3. Step 3: Cross multiply
    296,904x = 458,694 × 458,694
  4. Step 4: Simplify right side
    296,904x = 210,400,185,636
  5. Step 5: Solve for x
    x = 210,400,185,636/296,904
  6. Step 6: Final answer
    x = 708,647.19

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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.