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Finding the Third Proportional to 214,969 and 322,417

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Solution

The third proportional to 214,969 and 322,417 is: 483,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,969 : 322,417 = 322,417 : x
  2. Step 2: Convert to fraction form
    214,969/322,417 = 322,417/x
  3. Step 3: Cross multiply
    214,969x = 322,417 × 322,417
  4. Step 4: Simplify right side
    214,969x = 103,952,721,889
  5. Step 5: Solve for x
    x = 103,952,721,889/214,969
  6. Step 6: Final answer
    x = 483,570.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.