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Finding the Third Proportional to 224,769 and 478,146

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Solution

The third proportional to 224,769 and 478,146 is: 1,017,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,769 : 478,146 = 478,146 : x
  2. Step 2: Convert to fraction form
    224,769/478,146 = 478,146/x
  3. Step 3: Cross multiply
    224,769x = 478,146 × 478,146
  4. Step 4: Simplify right side
    224,769x = 228,623,597,316
  5. Step 5: Solve for x
    x = 228,623,597,316/224,769
  6. Step 6: Final answer
    x = 1,017,149.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.