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Finding the Third Proportional to 244,719 and 502,613

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Solution

The third proportional to 244,719 and 502,613 is: 1,032,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,719 : 502,613 = 502,613 : x
  2. Step 2: Convert to fraction form
    244,719/502,613 = 502,613/x
  3. Step 3: Cross multiply
    244,719x = 502,613 × 502,613
  4. Step 4: Simplify right side
    244,719x = 252,619,827,769
  5. Step 5: Solve for x
    x = 252,619,827,769/244,719
  6. Step 6: Final answer
    x = 1,032,285.31

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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.