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Finding the Third Proportional to 274,203.50 and 423,752

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Solution

The third proportional to 274,203.50 and 423,752 is: 654,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,203.50 : 423,752 = 423,752 : x
  2. Step 2: Convert to fraction form
    274,203.50/423,752 = 423,752/x
  3. Step 3: Cross multiply
    274,203.50x = 423,752 × 423,752
  4. Step 4: Simplify right side
    274,203.50x = 179,565,757,504
  5. Step 5: Solve for x
    x = 179,565,757,504/274,203.50
  6. Step 6: Final answer
    x = 654,863.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.