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Finding the Third Proportional to 355,684.50 and 542,558.25

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Solution

The third proportional to 355,684.50 and 542,558.25 is: 827,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,684.50 : 542,558.25 = 542,558.25 : x
  2. Step 2: Convert to fraction form
    355,684.50/542,558.25 = 542,558.25/x
  3. Step 3: Cross multiply
    355,684.50x = 542,558.25 × 542,558.25
  4. Step 4: Simplify right side
    355,684.50x = 294,369,454,643.06
  5. Step 5: Solve for x
    x = 294,369,454,643.06/355,684.50
  6. Step 6: Final answer
    x = 827,613.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.