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Finding the Third Proportional to 214,748 and 457,933

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Solution

The third proportional to 214,748 and 457,933 is: 976,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,748 : 457,933 = 457,933 : x
  2. Step 2: Convert to fraction form
    214,748/457,933 = 457,933/x
  3. Step 3: Cross multiply
    214,748x = 457,933 × 457,933
  4. Step 4: Simplify right side
    214,748x = 209,702,632,489
  5. Step 5: Solve for x
    x = 209,702,632,489/214,748
  6. Step 6: Final answer
    x = 976,505.64

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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.