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Finding the Third Proportional to 392,052 and 552,106

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Solution

The third proportional to 392,052 and 552,106 is: 777,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,052 : 552,106 = 552,106 : x
  2. Step 2: Convert to fraction form
    392,052/552,106 = 552,106/x
  3. Step 3: Cross multiply
    392,052x = 552,106 × 552,106
  4. Step 4: Simplify right side
    392,052x = 304,821,035,236
  5. Step 5: Solve for x
    x = 304,821,035,236/392,052
  6. Step 6: Final answer
    x = 777,501.54

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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.