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Finding the Third Proportional to 274,030.59 and 430,471.97

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Solution

The third proportional to 274,030.59 and 430,471.97 is: 676,224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,030.59 : 430,471.97 = 430,471.97 : x
  2. Step 2: Convert to fraction form
    274,030.59/430,471.97 = 430,471.97/x
  3. Step 3: Cross multiply
    274,030.59x = 430,471.97 × 430,471.97
  4. Step 4: Simplify right side
    274,030.59x = 185,306,115,879.50
  5. Step 5: Solve for x
    x = 185,306,115,879.50/274,030.59
  6. Step 6: Final answer
    x = 676,224.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.