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Finding the Third Proportional to 263,542 and 579,566

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Solution

The third proportional to 263,542 and 579,566 is: 1,274,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,542 : 579,566 = 579,566 : x
  2. Step 2: Convert to fraction form
    263,542/579,566 = 579,566/x
  3. Step 3: Cross multiply
    263,542x = 579,566 × 579,566
  4. Step 4: Simplify right side
    263,542x = 335,896,748,356
  5. Step 5: Solve for x
    x = 335,896,748,356/263,542
  6. Step 6: Final answer
    x = 1,274,547.31

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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.