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Finding the Third Proportional to 550,288.69 and 723,628.69

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Solution

The third proportional to 550,288.69 and 723,628.69 is: 951,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,288.69 : 723,628.69 = 723,628.69 : x
  2. Step 2: Convert to fraction form
    550,288.69/723,628.69 = 723,628.69/x
  3. Step 3: Cross multiply
    550,288.69x = 723,628.69 × 723,628.69
  4. Step 4: Simplify right side
    550,288.69x = 523,638,477,372.97
  5. Step 5: Solve for x
    x = 523,638,477,372.97/550,288.69
  6. Step 6: Final answer
    x = 951,570.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.