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Finding the Third Proportional to 361,028 and 529,226

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Solution

The third proportional to 361,028 and 529,226 is: 775,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,028 : 529,226 = 529,226 : x
  2. Step 2: Convert to fraction form
    361,028/529,226 = 529,226/x
  3. Step 3: Cross multiply
    361,028x = 529,226 × 529,226
  4. Step 4: Simplify right side
    361,028x = 280,080,159,076
  5. Step 5: Solve for x
    x = 280,080,159,076/361,028
  6. Step 6: Final answer
    x = 775,785.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.