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Finding the Third Proportional to 214,566 and 456,852

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Solution

The third proportional to 214,566 and 456,852 is: 972,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,566 : 456,852 = 456,852 : x
  2. Step 2: Convert to fraction form
    214,566/456,852 = 456,852/x
  3. Step 3: Cross multiply
    214,566x = 456,852 × 456,852
  4. Step 4: Simplify right side
    214,566x = 208,713,749,904
  5. Step 5: Solve for x
    x = 208,713,749,904/214,566
  6. Step 6: Final answer
    x = 972,725.18

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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.