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Finding the Third Proportional to 533,739.38 and 853,669.13

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Solution

The third proportional to 533,739.38 and 853,669.13 is: 1,365,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,739.38 : 853,669.13 = 853,669.13 : x
  2. Step 2: Convert to fraction form
    533,739.38/853,669.13 = 853,669.13/x
  3. Step 3: Cross multiply
    533,739.38x = 853,669.13 × 853,669.13
  4. Step 4: Simplify right side
    533,739.38x = 728,750,974,978.27
  5. Step 5: Solve for x
    x = 728,750,974,978.27/533,739.38
  6. Step 6: Final answer
    x = 1,365,368.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.