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Finding the Third Proportional to 286,164.56 and 442,898.44

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Solution

The third proportional to 286,164.56 and 442,898.44 is: 685,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,164.56 : 442,898.44 = 442,898.44 : x
  2. Step 2: Convert to fraction form
    286,164.56/442,898.44 = 442,898.44/x
  3. Step 3: Cross multiply
    286,164.56x = 442,898.44 × 442,898.44
  4. Step 4: Simplify right side
    286,164.56x = 196,159,025,939.94
  5. Step 5: Solve for x
    x = 196,159,025,939.94/286,164.56
  6. Step 6: Final answer
    x = 685,476.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.