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Finding the Third Proportional to 228,026 and 499,832

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Solution

The third proportional to 228,026 and 499,832 is: 1,095,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,026 : 499,832 = 499,832 : x
  2. Step 2: Convert to fraction form
    228,026/499,832 = 499,832/x
  3. Step 3: Cross multiply
    228,026x = 499,832 × 499,832
  4. Step 4: Simplify right side
    228,026x = 249,832,028,224
  5. Step 5: Solve for x
    x = 249,832,028,224/228,026
  6. Step 6: Final answer
    x = 1,095,629.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.