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Finding the Third Proportional to 264,513 and 581,508

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Solution

The third proportional to 264,513 and 581,508 is: 1,278,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,513 : 581,508 = 581,508 : x
  2. Step 2: Convert to fraction form
    264,513/581,508 = 581,508/x
  3. Step 3: Cross multiply
    264,513x = 581,508 × 581,508
  4. Step 4: Simplify right side
    264,513x = 338,151,554,064
  5. Step 5: Solve for x
    x = 338,151,554,064/264,513
  6. Step 6: Final answer
    x = 1,278,392.95

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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.