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Finding the Third Proportional to 244,719 and 502,614

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Solution

The third proportional to 244,719 and 502,614 is: 1,032,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,719 : 502,614 = 502,614 : x
  2. Step 2: Convert to fraction form
    244,719/502,614 = 502,614/x
  3. Step 3: Cross multiply
    244,719x = 502,614 × 502,614
  4. Step 4: Simplify right side
    244,719x = 252,620,832,996
  5. Step 5: Solve for x
    x = 252,620,832,996/244,719
  6. Step 6: Final answer
    x = 1,032,289.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.