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Finding the Third Proportional to 567,654.75 and 853,866.56

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Solution

The third proportional to 567,654.75 and 853,866.56 is: 1,284,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,654.75 : 853,866.56 = 853,866.56 : x
  2. Step 2: Convert to fraction form
    567,654.75/853,866.56 = 853,866.56/x
  3. Step 3: Cross multiply
    567,654.75x = 853,866.56 × 853,866.56
  4. Step 4: Simplify right side
    567,654.75x = 729,088,106,555.57
  5. Step 5: Solve for x
    x = 729,088,106,555.57/567,654.75
  6. Step 6: Final answer
    x = 1,284,386.52

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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.