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Finding the Third Proportional to 210,777 and 321,417

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Solution

The third proportional to 210,777 and 321,417 is: 490,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,777 : 321,417 = 321,417 : x
  2. Step 2: Convert to fraction form
    210,777/321,417 = 321,417/x
  3. Step 3: Cross multiply
    210,777x = 321,417 × 321,417
  4. Step 4: Simplify right side
    210,777x = 103,308,887,889
  5. Step 5: Solve for x
    x = 103,308,887,889/210,777
  6. Step 6: Final answer
    x = 490,133.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.