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Finding the Third Proportional to 334,716 and 723,818

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Solution

The third proportional to 334,716 and 723,818 is: 1,565,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,716 : 723,818 = 723,818 : x
  2. Step 2: Convert to fraction form
    334,716/723,818 = 723,818/x
  3. Step 3: Cross multiply
    334,716x = 723,818 × 723,818
  4. Step 4: Simplify right side
    334,716x = 523,912,497,124
  5. Step 5: Solve for x
    x = 523,912,497,124/334,716
  6. Step 6: Final answer
    x = 1,565,244.86

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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.