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Finding the Third Proportional to 214,064 and 457,652

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Solution

The third proportional to 214,064 and 457,652 is: 978,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,064 : 457,652 = 457,652 : x
  2. Step 2: Convert to fraction form
    214,064/457,652 = 457,652/x
  3. Step 3: Cross multiply
    214,064x = 457,652 × 457,652
  4. Step 4: Simplify right side
    214,064x = 209,445,353,104
  5. Step 5: Solve for x
    x = 209,445,353,104/214,064
  6. Step 6: Final answer
    x = 978,423.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.