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Finding the Third Proportional to 673,707.38 and 984,276.56

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Solution

The third proportional to 673,707.38 and 984,276.56 is: 1,438,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,707.38 : 984,276.56 = 984,276.56 : x
  2. Step 2: Convert to fraction form
    673,707.38/984,276.56 = 984,276.56/x
  3. Step 3: Cross multiply
    673,707.38x = 984,276.56 × 984,276.56
  4. Step 4: Simplify right side
    673,707.38x = 968,800,351,486.82
  5. Step 5: Solve for x
    x = 968,800,351,486.82/673,707.38
  6. Step 6: Final answer
    x = 1,438,013.58

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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.