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Finding the Third Proportional to 325,146 and 434,904

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Solution

The third proportional to 325,146 and 434,904 is: 581,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,146 : 434,904 = 434,904 : x
  2. Step 2: Convert to fraction form
    325,146/434,904 = 434,904/x
  3. Step 3: Cross multiply
    325,146x = 434,904 × 434,904
  4. Step 4: Simplify right side
    325,146x = 189,141,489,216
  5. Step 5: Solve for x
    x = 189,141,489,216/325,146
  6. Step 6: Final answer
    x = 581,712.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.