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Finding the Third Proportional to 244,058 and 530,094

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Solution

The third proportional to 244,058 and 530,094 is: 1,151,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,058 : 530,094 = 530,094 : x
  2. Step 2: Convert to fraction form
    244,058/530,094 = 530,094/x
  3. Step 3: Cross multiply
    244,058x = 530,094 × 530,094
  4. Step 4: Simplify right side
    244,058x = 280,999,648,836
  5. Step 5: Solve for x
    x = 280,999,648,836/244,058
  6. Step 6: Final answer
    x = 1,151,364.22

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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.