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Finding the Third Proportional to 225,104.06 and 531,370.13

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Solution

The third proportional to 225,104.06 and 531,370.13 is: 1,254,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,104.06 : 531,370.13 = 531,370.13 : x
  2. Step 2: Convert to fraction form
    225,104.06/531,370.13 = 531,370.13/x
  3. Step 3: Cross multiply
    225,104.06x = 531,370.13 × 531,370.13
  4. Step 4: Simplify right side
    225,104.06x = 282,354,209,742.52
  5. Step 5: Solve for x
    x = 282,354,209,742.52/225,104.06
  6. Step 6: Final answer
    x = 1,254,327.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.