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Finding the Third Proportional to 356,838 and 486,035

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Solution

The third proportional to 356,838 and 486,035 is: 662,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,838 : 486,035 = 486,035 : x
  2. Step 2: Convert to fraction form
    356,838/486,035 = 486,035/x
  3. Step 3: Cross multiply
    356,838x = 486,035 × 486,035
  4. Step 4: Simplify right side
    356,838x = 236,230,021,225
  5. Step 5: Solve for x
    x = 236,230,021,225/356,838
  6. Step 6: Final answer
    x = 662,009.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.