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Finding the Third Proportional to 262,577 and 572,682

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Solution

The third proportional to 262,577 and 572,682 is: 1,249,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,577 : 572,682 = 572,682 : x
  2. Step 2: Convert to fraction form
    262,577/572,682 = 572,682/x
  3. Step 3: Cross multiply
    262,577x = 572,682 × 572,682
  4. Step 4: Simplify right side
    262,577x = 327,964,673,124
  5. Step 5: Solve for x
    x = 327,964,673,124/262,577
  6. Step 6: Final answer
    x = 1,249,022.85

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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.