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Finding the Third Proportional to 228,884.06 and 497,172.09

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Solution

The third proportional to 228,884.06 and 497,172.09 is: 1,079,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,884.06 : 497,172.09 = 497,172.09 : x
  2. Step 2: Convert to fraction form
    228,884.06/497,172.09 = 497,172.09/x
  3. Step 3: Cross multiply
    228,884.06x = 497,172.09 × 497,172.09
  4. Step 4: Simplify right side
    228,884.06x = 247,180,090,803.76
  5. Step 5: Solve for x
    x = 247,180,090,803.76/228,884.06
  6. Step 6: Final answer
    x = 1,079,935.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.