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Finding the Third Proportional to 384,117.75 and 581,458.50

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Solution

The third proportional to 384,117.75 and 581,458.50 is: 880,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,117.75 : 581,458.50 = 581,458.50 : x
  2. Step 2: Convert to fraction form
    384,117.75/581,458.50 = 581,458.50/x
  3. Step 3: Cross multiply
    384,117.75x = 581,458.50 × 581,458.50
  4. Step 4: Simplify right side
    384,117.75x = 338,093,987,222.25
  5. Step 5: Solve for x
    x = 338,093,987,222.25/384,117.75
  6. Step 6: Final answer
    x = 880,183.19

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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.