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Finding the Third Proportional to 552,100 and 777,270

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Solution

The third proportional to 552,100 and 777,270 is: 1,094,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,100 : 777,270 = 777,270 : x
  2. Step 2: Convert to fraction form
    552,100/777,270 = 777,270/x
  3. Step 3: Cross multiply
    552,100x = 777,270 × 777,270
  4. Step 4: Simplify right side
    552,100x = 604,148,652,900
  5. Step 5: Solve for x
    x = 604,148,652,900/552,100
  6. Step 6: Final answer
    x = 1,094,273.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.