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Finding the Third Proportional to 673,768.13 and 985,572.56

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Solution

The third proportional to 673,768.13 and 985,572.56 is: 1,441,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,768.13 : 985,572.56 = 985,572.56 : x
  2. Step 2: Convert to fraction form
    673,768.13/985,572.56 = 985,572.56/x
  3. Step 3: Cross multiply
    673,768.13x = 985,572.56 × 985,572.56
  4. Step 4: Simplify right side
    673,768.13x = 971,353,275,952.82
  5. Step 5: Solve for x
    x = 971,353,275,952.82/673,768.13
  6. Step 6: Final answer
    x = 1,441,672.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.