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Finding the Third Proportional to 262,391 and 543,453

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Solution

The third proportional to 262,391 and 543,453 is: 1,125,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,391 : 543,453 = 543,453 : x
  2. Step 2: Convert to fraction form
    262,391/543,453 = 543,453/x
  3. Step 3: Cross multiply
    262,391x = 543,453 × 543,453
  4. Step 4: Simplify right side
    262,391x = 295,341,163,209
  5. Step 5: Solve for x
    x = 295,341,163,209/262,391
  6. Step 6: Final answer
    x = 1,125,576.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.