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Finding the Third Proportional to 349,344.50 and 525,766

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Solution

The third proportional to 349,344.50 and 525,766 is: 791,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,344.50 : 525,766 = 525,766 : x
  2. Step 2: Convert to fraction form
    349,344.50/525,766 = 525,766/x
  3. Step 3: Cross multiply
    349,344.50x = 525,766 × 525,766
  4. Step 4: Simplify right side
    349,344.50x = 276,429,886,756
  5. Step 5: Solve for x
    x = 276,429,886,756/349,344.50
  6. Step 6: Final answer
    x = 791,281.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.