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Finding the Third Proportional to 228,944 and 478,786

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Solution

The third proportional to 228,944 and 478,786 is: 1,001,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,944 : 478,786 = 478,786 : x
  2. Step 2: Convert to fraction form
    228,944/478,786 = 478,786/x
  3. Step 3: Cross multiply
    228,944x = 478,786 × 478,786
  4. Step 4: Simplify right side
    228,944x = 229,236,033,796
  5. Step 5: Solve for x
    x = 229,236,033,796/228,944
  6. Step 6: Final answer
    x = 1,001,275.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.