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Finding the Third Proportional to 535,488.50 and 713,904.75

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Solution

The third proportional to 535,488.50 and 713,904.75 is: 951,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,488.50 : 713,904.75 = 713,904.75 : x
  2. Step 2: Convert to fraction form
    535,488.50/713,904.75 = 713,904.75/x
  3. Step 3: Cross multiply
    535,488.50x = 713,904.75 × 713,904.75
  4. Step 4: Simplify right side
    535,488.50x = 509,659,992,072.56
  5. Step 5: Solve for x
    x = 509,659,992,072.56/535,488.50
  6. Step 6: Final answer
    x = 951,766.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.