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Finding the Third Proportional to 334,560 and 721,656

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Solution

The third proportional to 334,560 and 721,656 is: 1,556,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,560 : 721,656 = 721,656 : x
  2. Step 2: Convert to fraction form
    334,560/721,656 = 721,656/x
  3. Step 3: Cross multiply
    334,560x = 721,656 × 721,656
  4. Step 4: Simplify right side
    334,560x = 520,787,382,336
  5. Step 5: Solve for x
    x = 520,787,382,336/334,560
  6. Step 6: Final answer
    x = 1,556,633.73

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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.