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Finding the Third Proportional to 463,806 and 676,026

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Solution

The third proportional to 463,806 and 676,026 is: 985,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,806 : 676,026 = 676,026 : x
  2. Step 2: Convert to fraction form
    463,806/676,026 = 676,026/x
  3. Step 3: Cross multiply
    463,806x = 676,026 × 676,026
  4. Step 4: Simplify right side
    463,806x = 457,011,152,676
  5. Step 5: Solve for x
    x = 457,011,152,676/463,806
  6. Step 6: Final answer
    x = 985,349.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.