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Finding the Third Proportional to 492,775 and 647,037

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Solution

The third proportional to 492,775 and 647,037 is: 849,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,775 : 647,037 = 647,037 : x
  2. Step 2: Convert to fraction form
    492,775/647,037 = 647,037/x
  3. Step 3: Cross multiply
    492,775x = 647,037 × 647,037
  4. Step 4: Simplify right side
    492,775x = 418,656,879,369
  5. Step 5: Solve for x
    x = 418,656,879,369/492,775
  6. Step 6: Final answer
    x = 849,590.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.