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Finding the Third Proportional to 243,110 and 530,608

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Solution

The third proportional to 243,110 and 530,608 is: 1,158,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,110 : 530,608 = 530,608 : x
  2. Step 2: Convert to fraction form
    243,110/530,608 = 530,608/x
  3. Step 3: Cross multiply
    243,110x = 530,608 × 530,608
  4. Step 4: Simplify right side
    243,110x = 281,544,849,664
  5. Step 5: Solve for x
    x = 281,544,849,664/243,110
  6. Step 6: Final answer
    x = 1,158,096.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.