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Finding the Third Proportional to 224,855 and 478,842

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Solution

The third proportional to 224,855 and 478,842 is: 1,019,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,855 : 478,842 = 478,842 : x
  2. Step 2: Convert to fraction form
    224,855/478,842 = 478,842/x
  3. Step 3: Cross multiply
    224,855x = 478,842 × 478,842
  4. Step 4: Simplify right side
    224,855x = 229,289,660,964
  5. Step 5: Solve for x
    x = 229,289,660,964/224,855
  6. Step 6: Final answer
    x = 1,019,722.31

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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.