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Finding the Third Proportional to 264,452 and 581,389

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Solution

The third proportional to 264,452 and 581,389 is: 1,278,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,452 : 581,389 = 581,389 : x
  2. Step 2: Convert to fraction form
    264,452/581,389 = 581,389/x
  3. Step 3: Cross multiply
    264,452x = 581,389 × 581,389
  4. Step 4: Simplify right side
    264,452x = 338,013,169,321
  5. Step 5: Solve for x
    x = 338,013,169,321/264,452
  6. Step 6: Final answer
    x = 1,278,164.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.