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Finding the Third Proportional to 363,368.50 and 557,764

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Solution

The third proportional to 363,368.50 and 557,764 is: 856,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,368.50 : 557,764 = 557,764 : x
  2. Step 2: Convert to fraction form
    363,368.50/557,764 = 557,764/x
  3. Step 3: Cross multiply
    363,368.50x = 557,764 × 557,764
  4. Step 4: Simplify right side
    363,368.50x = 311,100,679,696
  5. Step 5: Solve for x
    x = 311,100,679,696/363,368.50
  6. Step 6: Final answer
    x = 856,157.54

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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.