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Finding the Third Proportional to 218,952 and 469,008

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Solution

The third proportional to 218,952 and 469,008 is: 1,004,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,952 : 469,008 = 469,008 : x
  2. Step 2: Convert to fraction form
    218,952/469,008 = 469,008/x
  3. Step 3: Cross multiply
    218,952x = 469,008 × 469,008
  4. Step 4: Simplify right side
    218,952x = 219,968,504,064
  5. Step 5: Solve for x
    x = 219,968,504,064/218,952
  6. Step 6: Final answer
    x = 1,004,642.59

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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.