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Finding the Third Proportional to 248,001 and 551,106

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Solution

The third proportional to 248,001 and 551,106 is: 1,224,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,001 : 551,106 = 551,106 : x
  2. Step 2: Convert to fraction form
    248,001/551,106 = 551,106/x
  3. Step 3: Cross multiply
    248,001x = 551,106 × 551,106
  4. Step 4: Simplify right side
    248,001x = 303,717,823,236
  5. Step 5: Solve for x
    x = 303,717,823,236/248,001
  6. Step 6: Final answer
    x = 1,224,663.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.