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Finding the Third Proportional to 315,462 and 683,385

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Solution

The third proportional to 315,462 and 683,385 is: 1,480,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,462 : 683,385 = 683,385 : x
  2. Step 2: Convert to fraction form
    315,462/683,385 = 683,385/x
  3. Step 3: Cross multiply
    315,462x = 683,385 × 683,385
  4. Step 4: Simplify right side
    315,462x = 467,015,058,225
  5. Step 5: Solve for x
    x = 467,015,058,225/315,462
  6. Step 6: Final answer
    x = 1,480,416.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.