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Finding the Third Proportional to 250,398 and 530,591

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Solution

The third proportional to 250,398 and 530,591 is: 1,124,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,398 : 530,591 = 530,591 : x
  2. Step 2: Convert to fraction form
    250,398/530,591 = 530,591/x
  3. Step 3: Cross multiply
    250,398x = 530,591 × 530,591
  4. Step 4: Simplify right side
    250,398x = 281,526,809,281
  5. Step 5: Solve for x
    x = 281,526,809,281/250,398
  6. Step 6: Final answer
    x = 1,124,317.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.