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Finding the Third Proportional to 355,656 and 550,524

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Solution

The third proportional to 355,656 and 550,524 is: 852,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,656 : 550,524 = 550,524 : x
  2. Step 2: Convert to fraction form
    355,656/550,524 = 550,524/x
  3. Step 3: Cross multiply
    355,656x = 550,524 × 550,524
  4. Step 4: Simplify right side
    355,656x = 303,076,674,576
  5. Step 5: Solve for x
    x = 303,076,674,576/355,656
  6. Step 6: Final answer
    x = 852,162.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.