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Finding the Third Proportional to 225,931.50 and 486,855

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Solution

The third proportional to 225,931.50 and 486,855 is: 1,049,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,931.50 : 486,855 = 486,855 : x
  2. Step 2: Convert to fraction form
    225,931.50/486,855 = 486,855/x
  3. Step 3: Cross multiply
    225,931.50x = 486,855 × 486,855
  4. Step 4: Simplify right side
    225,931.50x = 237,027,791,025
  5. Step 5: Solve for x
    x = 237,027,791,025/225,931.50
  6. Step 6: Final answer
    x = 1,049,113.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.