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Finding the Third Proportional to 343,624.50 and 522,729

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Solution

The third proportional to 343,624.50 and 522,729 is: 795,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,624.50 : 522,729 = 522,729 : x
  2. Step 2: Convert to fraction form
    343,624.50/522,729 = 522,729/x
  3. Step 3: Cross multiply
    343,624.50x = 522,729 × 522,729
  4. Step 4: Simplify right side
    343,624.50x = 273,245,607,441
  5. Step 5: Solve for x
    x = 273,245,607,441/343,624.50
  6. Step 6: Final answer
    x = 795,186.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.