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Finding the Third Proportional to 224,762 and 478,130

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Solution

The third proportional to 224,762 and 478,130 is: 1,017,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,762 : 478,130 = 478,130 : x
  2. Step 2: Convert to fraction form
    224,762/478,130 = 478,130/x
  3. Step 3: Cross multiply
    224,762x = 478,130 × 478,130
  4. Step 4: Simplify right side
    224,762x = 228,608,296,900
  5. Step 5: Solve for x
    x = 228,608,296,900/224,762
  6. Step 6: Final answer
    x = 1,017,112.75

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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.