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Finding the Third Proportional to 241,314 and 530,013

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Solution

The third proportional to 241,314 and 530,013 is: 1,164,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,314 : 530,013 = 530,013 : x
  2. Step 2: Convert to fraction form
    241,314/530,013 = 530,013/x
  3. Step 3: Cross multiply
    241,314x = 530,013 × 530,013
  4. Step 4: Simplify right side
    241,314x = 280,913,780,169
  5. Step 5: Solve for x
    x = 280,913,780,169/241,314
  6. Step 6: Final answer
    x = 1,164,100.63

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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.