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Finding the Third Proportional to 262,583 and 572,694

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Solution

The third proportional to 262,583 and 572,694 is: 1,249,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,583 : 572,694 = 572,694 : x
  2. Step 2: Convert to fraction form
    262,583/572,694 = 572,694/x
  3. Step 3: Cross multiply
    262,583x = 572,694 × 572,694
  4. Step 4: Simplify right side
    262,583x = 327,978,417,636
  5. Step 5: Solve for x
    x = 327,978,417,636/262,583
  6. Step 6: Final answer
    x = 1,249,046.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.