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Finding the Third Proportional to 241,403 and 530,063

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Solution

The third proportional to 241,403 and 530,063 is: 1,163,891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,403 : 530,063 = 530,063 : x
  2. Step 2: Convert to fraction form
    241,403/530,063 = 530,063/x
  3. Step 3: Cross multiply
    241,403x = 530,063 × 530,063
  4. Step 4: Simplify right side
    241,403x = 280,966,783,969
  5. Step 5: Solve for x
    x = 280,966,783,969/241,403
  6. Step 6: Final answer
    x = 1,163,891.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.