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Finding the Third Proportional to 355,672.50 and 542,372.25

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Solution

The third proportional to 355,672.50 and 542,372.25 is: 827,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,672.50 : 542,372.25 = 542,372.25 : x
  2. Step 2: Convert to fraction form
    355,672.50/542,372.25 = 542,372.25/x
  3. Step 3: Cross multiply
    355,672.50x = 542,372.25 × 542,372.25
  4. Step 4: Simplify right side
    355,672.50x = 294,167,657,570.06
  5. Step 5: Solve for x
    x = 294,167,657,570.06/355,672.50
  6. Step 6: Final answer
    x = 827,074.51

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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.