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Finding the Third Proportional to 241,310 and 530,005

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Solution

The third proportional to 241,310 and 530,005 is: 1,164,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,310 : 530,005 = 530,005 : x
  2. Step 2: Convert to fraction form
    241,310/530,005 = 530,005/x
  3. Step 3: Cross multiply
    241,310x = 530,005 × 530,005
  4. Step 4: Simplify right side
    241,310x = 280,905,300,025
  5. Step 5: Solve for x
    x = 280,905,300,025/241,310
  6. Step 6: Final answer
    x = 1,164,084.79

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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.