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Finding the Third Proportional to 334,228 and 721,718

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Solution

The third proportional to 334,228 and 721,718 is: 1,558,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,228 : 721,718 = 721,718 : x
  2. Step 2: Convert to fraction form
    334,228/721,718 = 721,718/x
  3. Step 3: Cross multiply
    334,228x = 721,718 × 721,718
  4. Step 4: Simplify right side
    334,228x = 520,876,871,524
  5. Step 5: Solve for x
    x = 520,876,871,524/334,228
  6. Step 6: Final answer
    x = 1,558,447.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.