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Finding the Third Proportional to 242,115 and 478,029

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Solution

The third proportional to 242,115 and 478,029 is: 943,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,115 : 478,029 = 478,029 : x
  2. Step 2: Convert to fraction form
    242,115/478,029 = 478,029/x
  3. Step 3: Cross multiply
    242,115x = 478,029 × 478,029
  4. Step 4: Simplify right side
    242,115x = 228,511,724,841
  5. Step 5: Solve for x
    x = 228,511,724,841/242,115
  6. Step 6: Final answer
    x = 943,814.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.