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Finding the Third Proportional to 334,856 and 477,284

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Solution

The third proportional to 334,856 and 477,284 is: 680,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,856 : 477,284 = 477,284 : x
  2. Step 2: Convert to fraction form
    334,856/477,284 = 477,284/x
  3. Step 3: Cross multiply
    334,856x = 477,284 × 477,284
  4. Step 4: Simplify right side
    334,856x = 227,800,016,656
  5. Step 5: Solve for x
    x = 227,800,016,656/334,856
  6. Step 6: Final answer
    x = 680,292.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.