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Finding the Third Proportional to 264,555 and 581,598

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Solution

The third proportional to 264,555 and 581,598 is: 1,278,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,555 : 581,598 = 581,598 : x
  2. Step 2: Convert to fraction form
    264,555/581,598 = 581,598/x
  3. Step 3: Cross multiply
    264,555x = 581,598 × 581,598
  4. Step 4: Simplify right side
    264,555x = 338,256,233,604
  5. Step 5: Solve for x
    x = 338,256,233,604/264,555
  6. Step 6: Final answer
    x = 1,278,585.68

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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.