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Finding the Third Proportional to 458,130.38 and 928,572.75

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Solution

The third proportional to 458,130.38 and 928,572.75 is: 1,882,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,130.38 : 928,572.75 = 928,572.75 : x
  2. Step 2: Convert to fraction form
    458,130.38/928,572.75 = 928,572.75/x
  3. Step 3: Cross multiply
    458,130.38x = 928,572.75 × 928,572.75
  4. Step 4: Simplify right side
    458,130.38x = 862,247,352,042.56
  5. Step 5: Solve for x
    x = 862,247,352,042.56/458,130.38
  6. Step 6: Final answer
    x = 1,882,100.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.