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Finding the Third Proportional to 583,200.38 and 874,800.75

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Solution

The third proportional to 583,200.38 and 874,800.75 is: 1,312,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,200.38 : 874,800.75 = 874,800.75 : x
  2. Step 2: Convert to fraction form
    583,200.38/874,800.75 = 874,800.75/x
  3. Step 3: Cross multiply
    583,200.38x = 874,800.75 × 874,800.75
  4. Step 4: Simplify right side
    583,200.38x = 765,276,352,200.56
  5. Step 5: Solve for x
    x = 765,276,352,200.56/583,200.38
  6. Step 6: Final answer
    x = 1,312,201.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.