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Finding the Third Proportional to 244,061 and 530,103

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Solution

The third proportional to 244,061 and 530,103 is: 1,151,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,061 : 530,103 = 530,103 : x
  2. Step 2: Convert to fraction form
    244,061/530,103 = 530,103/x
  3. Step 3: Cross multiply
    244,061x = 530,103 × 530,103
  4. Step 4: Simplify right side
    244,061x = 281,009,190,609
  5. Step 5: Solve for x
    x = 281,009,190,609/244,061
  6. Step 6: Final answer
    x = 1,151,389.16

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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.