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Finding the Third Proportional to 438,028 and 484,108

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Solution

The third proportional to 438,028 and 484,108 is: 535,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,028 : 484,108 = 484,108 : x
  2. Step 2: Convert to fraction form
    438,028/484,108 = 484,108/x
  3. Step 3: Cross multiply
    438,028x = 484,108 × 484,108
  4. Step 4: Simplify right side
    438,028x = 234,360,555,664
  5. Step 5: Solve for x
    x = 234,360,555,664/438,028
  6. Step 6: Final answer
    x = 535,035.56

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.