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Finding the Third Proportional to 356,833.50 and 486,029

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Solution

The third proportional to 356,833.50 and 486,029 is: 662,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,833.50 : 486,029 = 486,029 : x
  2. Step 2: Convert to fraction form
    356,833.50/486,029 = 486,029/x
  3. Step 3: Cross multiply
    356,833.50x = 486,029 × 486,029
  4. Step 4: Simplify right side
    356,833.50x = 236,224,188,841
  5. Step 5: Solve for x
    x = 236,224,188,841/356,833.50
  6. Step 6: Final answer
    x = 662,001.15

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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.