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Finding the Third Proportional to 244,338 and 530,454

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Solution

The third proportional to 244,338 and 530,454 is: 1,151,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,338 : 530,454 = 530,454 : x
  2. Step 2: Convert to fraction form
    244,338/530,454 = 530,454/x
  3. Step 3: Cross multiply
    244,338x = 530,454 × 530,454
  4. Step 4: Simplify right side
    244,338x = 281,381,446,116
  5. Step 5: Solve for x
    x = 281,381,446,116/244,338
  6. Step 6: Final answer
    x = 1,151,607.39

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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.