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Finding the Third Proportional to 334,274 and 715,194

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Solution

The third proportional to 334,274 and 715,194 is: 1,530,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,274 : 715,194 = 715,194 : x
  2. Step 2: Convert to fraction form
    334,274/715,194 = 715,194/x
  3. Step 3: Cross multiply
    334,274x = 715,194 × 715,194
  4. Step 4: Simplify right side
    334,274x = 511,502,457,636
  5. Step 5: Solve for x
    x = 511,502,457,636/334,274
  6. Step 6: Final answer
    x = 1,530,189.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.