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Finding the Third Proportional to 262,614 and 572,744

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Solution

The third proportional to 262,614 and 572,744 is: 1,249,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,614 : 572,744 = 572,744 : x
  2. Step 2: Convert to fraction form
    262,614/572,744 = 572,744/x
  3. Step 3: Cross multiply
    262,614x = 572,744 × 572,744
  4. Step 4: Simplify right side
    262,614x = 328,035,689,536
  5. Step 5: Solve for x
    x = 328,035,689,536/262,614
  6. Step 6: Final answer
    x = 1,249,117.30

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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.