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Finding the Third Proportional to 234,810 and 502,821

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Solution

The third proportional to 234,810 and 502,821 is: 1,076,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,810 : 502,821 = 502,821 : x
  2. Step 2: Convert to fraction form
    234,810/502,821 = 502,821/x
  3. Step 3: Cross multiply
    234,810x = 502,821 × 502,821
  4. Step 4: Simplify right side
    234,810x = 252,828,958,041
  5. Step 5: Solve for x
    x = 252,828,958,041/234,810
  6. Step 6: Final answer
    x = 1,076,738.46

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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.