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Finding the Third Proportional to 530,714 and 1,110,635.50

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Solution

The third proportional to 530,714 and 1,110,635.50 is: 2,324,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,714 : 1,110,635.50 = 1,110,635.50 : x
  2. Step 2: Convert to fraction form
    530,714/1,110,635.50 = 1,110,635.50/x
  3. Step 3: Cross multiply
    530,714x = 1,110,635.50 × 1,110,635.50
  4. Step 4: Simplify right side
    530,714x = 1,233,511,213,860.25
  5. Step 5: Solve for x
    x = 1,233,511,213,860.25/530,714
  6. Step 6: Final answer
    x = 2,324,248.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.