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Finding the Third Proportional to 237,456.56 and 499,516.88

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Solution

The third proportional to 237,456.56 and 499,516.88 is: 1,050,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,456.56 : 499,516.88 = 499,516.88 : x
  2. Step 2: Convert to fraction form
    237,456.56/499,516.88 = 499,516.88/x
  3. Step 3: Cross multiply
    237,456.56x = 499,516.88 × 499,516.88
  4. Step 4: Simplify right side
    237,456.56x = 249,517,108,409.77
  5. Step 5: Solve for x
    x = 249,517,108,409.77/237,456.56
  6. Step 6: Final answer
    x = 1,050,790.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.