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Finding the Third Proportional to 214,764 and 457,176

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Solution

The third proportional to 214,764 and 457,176 is: 973,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,764 : 457,176 = 457,176 : x
  2. Step 2: Convert to fraction form
    214,764/457,176 = 457,176/x
  3. Step 3: Cross multiply
    214,764x = 457,176 × 457,176
  4. Step 4: Simplify right side
    214,764x = 209,009,894,976
  5. Step 5: Solve for x
    x = 209,009,894,976/214,764
  6. Step 6: Final answer
    x = 973,207.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.