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Finding the Third Proportional to 273,544 and 439,506.50

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Solution

The third proportional to 273,544 and 439,506.50 is: 706,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,544 : 439,506.50 = 439,506.50 : x
  2. Step 2: Convert to fraction form
    273,544/439,506.50 = 439,506.50/x
  3. Step 3: Cross multiply
    273,544x = 439,506.50 × 439,506.50
  4. Step 4: Simplify right side
    273,544x = 193,165,963,542.25
  5. Step 5: Solve for x
    x = 193,165,963,542.25/273,544
  6. Step 6: Final answer
    x = 706,160.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.