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Finding the Third Proportional to 245,063 and 530,838

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Solution

The third proportional to 245,063 and 530,838 is: 1,149,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,063 : 530,838 = 530,838 : x
  2. Step 2: Convert to fraction form
    245,063/530,838 = 530,838/x
  3. Step 3: Cross multiply
    245,063x = 530,838 × 530,838
  4. Step 4: Simplify right side
    245,063x = 281,788,982,244
  5. Step 5: Solve for x
    x = 281,788,982,244/245,063
  6. Step 6: Final answer
    x = 1,149,863.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.