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Finding the Third Proportional to 570,452.63 and 853,896.94

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Solution

The third proportional to 570,452.63 and 853,896.94 is: 1,278,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,452.63 : 853,896.94 = 853,896.94 : x
  2. Step 2: Convert to fraction form
    570,452.63/853,896.94 = 853,896.94/x
  3. Step 3: Cross multiply
    570,452.63x = 853,896.94 × 853,896.94
  4. Step 4: Simplify right side
    570,452.63x = 729,139,979,871.88
  5. Step 5: Solve for x
    x = 729,139,979,871.88/570,452.63
  6. Step 6: Final answer
    x = 1,278,177.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.