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Finding the Third Proportional to 334,416 and 727,878

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Solution

The third proportional to 334,416 and 727,878 is: 1,584,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,416 : 727,878 = 727,878 : x
  2. Step 2: Convert to fraction form
    334,416/727,878 = 727,878/x
  3. Step 3: Cross multiply
    334,416x = 727,878 × 727,878
  4. Step 4: Simplify right side
    334,416x = 529,806,382,884
  5. Step 5: Solve for x
    x = 529,806,382,884/334,416
  6. Step 6: Final answer
    x = 1,584,273.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.