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Finding the Third Proportional to 356,609.25 and 529,019.44

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Solution

The third proportional to 356,609.25 and 529,019.44 is: 784,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,609.25 : 529,019.44 = 529,019.44 : x
  2. Step 2: Convert to fraction form
    356,609.25/529,019.44 = 529,019.44/x
  3. Step 3: Cross multiply
    356,609.25x = 529,019.44 × 529,019.44
  4. Step 4: Simplify right side
    356,609.25x = 279,861,565,252.82
  5. Step 5: Solve for x
    x = 279,861,565,252.82/356,609.25
  6. Step 6: Final answer
    x = 784,784.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.