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Finding the Third Proportional to 470,351 and 694,453

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Solution

The third proportional to 470,351 and 694,453 is: 1,025,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,351 : 694,453 = 694,453 : x
  2. Step 2: Convert to fraction form
    470,351/694,453 = 694,453/x
  3. Step 3: Cross multiply
    470,351x = 694,453 × 694,453
  4. Step 4: Simplify right side
    470,351x = 482,264,969,209
  5. Step 5: Solve for x
    x = 482,264,969,209/470,351
  6. Step 6: Final answer
    x = 1,025,329.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.