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Finding the Third Proportional to 286,016 and 428,472

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Solution

The third proportional to 286,016 and 428,472 is: 641,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,016 : 428,472 = 428,472 : x
  2. Step 2: Convert to fraction form
    286,016/428,472 = 428,472/x
  3. Step 3: Cross multiply
    286,016x = 428,472 × 428,472
  4. Step 4: Simplify right side
    286,016x = 183,588,254,784
  5. Step 5: Solve for x
    x = 183,588,254,784/286,016
  6. Step 6: Final answer
    x = 641,881.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.