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Finding the Third Proportional to 676,157.63 and 966,843.84

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Solution

The third proportional to 676,157.63 and 966,843.84 is: 1,382,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,157.63 : 966,843.84 = 966,843.84 : x
  2. Step 2: Convert to fraction form
    676,157.63/966,843.84 = 966,843.84/x
  3. Step 3: Cross multiply
    676,157.63x = 966,843.84 × 966,843.84
  4. Step 4: Simplify right side
    676,157.63x = 934,787,018,197.27
  5. Step 5: Solve for x
    x = 934,787,018,197.27/676,157.63
  6. Step 6: Final answer
    x = 1,382,498.67

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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.