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Finding the Third Proportional to 229,978 and 502,706

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Solution

The third proportional to 229,978 and 502,706 is: 1,098,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,978 : 502,706 = 502,706 : x
  2. Step 2: Convert to fraction form
    229,978/502,706 = 502,706/x
  3. Step 3: Cross multiply
    229,978x = 502,706 × 502,706
  4. Step 4: Simplify right side
    229,978x = 252,713,322,436
  5. Step 5: Solve for x
    x = 252,713,322,436/229,978
  6. Step 6: Final answer
    x = 1,098,858.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.