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Finding the Third Proportional to 355,576.50 and 503,124.75

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Solution

The third proportional to 355,576.50 and 503,124.75 is: 711,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,576.50 : 503,124.75 = 503,124.75 : x
  2. Step 2: Convert to fraction form
    355,576.50/503,124.75 = 503,124.75/x
  3. Step 3: Cross multiply
    355,576.50x = 503,124.75 × 503,124.75
  4. Step 4: Simplify right side
    355,576.50x = 253,134,514,062.56
  5. Step 5: Solve for x
    x = 253,134,514,062.56/355,576.50
  6. Step 6: Final answer
    x = 711,898.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.