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Finding the Third Proportional to 244,296 and 530,352

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Solution

The third proportional to 244,296 and 530,352 is: 1,151,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,296 : 530,352 = 530,352 : x
  2. Step 2: Convert to fraction form
    244,296/530,352 = 530,352/x
  3. Step 3: Cross multiply
    244,296x = 530,352 × 530,352
  4. Step 4: Simplify right side
    244,296x = 281,273,243,904
  5. Step 5: Solve for x
    x = 281,273,243,904/244,296
  6. Step 6: Final answer
    x = 1,151,362.46

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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.