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Finding the Third Proportional to 320,415 and 483,084

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Solution

The third proportional to 320,415 and 483,084 is: 728,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,415 : 483,084 = 483,084 : x
  2. Step 2: Convert to fraction form
    320,415/483,084 = 483,084/x
  3. Step 3: Cross multiply
    320,415x = 483,084 × 483,084
  4. Step 4: Simplify right side
    320,415x = 233,370,151,056
  5. Step 5: Solve for x
    x = 233,370,151,056/320,415
  6. Step 6: Final answer
    x = 728,337.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.