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Finding the Third Proportional to 287,532 and 441,345

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Solution

The third proportional to 287,532 and 441,345 is: 677,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,532 : 441,345 = 441,345 : x
  2. Step 2: Convert to fraction form
    287,532/441,345 = 441,345/x
  3. Step 3: Cross multiply
    287,532x = 441,345 × 441,345
  4. Step 4: Simplify right side
    287,532x = 194,785,409,025
  5. Step 5: Solve for x
    x = 194,785,409,025/287,532
  6. Step 6: Final answer
    x = 677,439.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.