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Finding the Third Proportional to 263,637 and 568,746

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Solution

The third proportional to 263,637 and 568,746 is: 1,226,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,637 : 568,746 = 568,746 : x
  2. Step 2: Convert to fraction form
    263,637/568,746 = 568,746/x
  3. Step 3: Cross multiply
    263,637x = 568,746 × 568,746
  4. Step 4: Simplify right side
    263,637x = 323,472,012,516
  5. Step 5: Solve for x
    x = 323,472,012,516/263,637
  6. Step 6: Final answer
    x = 1,226,959.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.