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Finding the Third Proportional to 225,543 and 534,319.50

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Solution

The third proportional to 225,543 and 534,319.50 is: 1,265,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,543 : 534,319.50 = 534,319.50 : x
  2. Step 2: Convert to fraction form
    225,543/534,319.50 = 534,319.50/x
  3. Step 3: Cross multiply
    225,543x = 534,319.50 × 534,319.50
  4. Step 4: Simplify right side
    225,543x = 285,497,328,080.25
  5. Step 5: Solve for x
    x = 285,497,328,080.25/225,543
  6. Step 6: Final answer
    x = 1,265,822.16

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.