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Finding the Third Proportional to 354,403.69 and 534,498.75

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Solution

The third proportional to 354,403.69 and 534,498.75 is: 806,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,403.69 : 534,498.75 = 534,498.75 : x
  2. Step 2: Convert to fraction form
    354,403.69/534,498.75 = 534,498.75/x
  3. Step 3: Cross multiply
    354,403.69x = 534,498.75 × 534,498.75
  4. Step 4: Simplify right side
    354,403.69x = 285,688,913,751.56
  5. Step 5: Solve for x
    x = 285,688,913,751.56/354,403.69
  6. Step 6: Final answer
    x = 806,111.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.