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Finding the Third Proportional to 263,742 and 586,452

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Solution

The third proportional to 263,742 and 586,452 is: 1,304,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,742 : 586,452 = 586,452 : x
  2. Step 2: Convert to fraction form
    263,742/586,452 = 586,452/x
  3. Step 3: Cross multiply
    263,742x = 586,452 × 586,452
  4. Step 4: Simplify right side
    263,742x = 343,925,948,304
  5. Step 5: Solve for x
    x = 343,925,948,304/263,742
  6. Step 6: Final answer
    x = 1,304,024.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.