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Finding the Third Proportional to 262,370 and 579,868

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Solution

The third proportional to 262,370 and 579,868 is: 1,281,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,370 : 579,868 = 579,868 : x
  2. Step 2: Convert to fraction form
    262,370/579,868 = 579,868/x
  3. Step 3: Cross multiply
    262,370x = 579,868 × 579,868
  4. Step 4: Simplify right side
    262,370x = 336,246,897,424
  5. Step 5: Solve for x
    x = 336,246,897,424/262,370
  6. Step 6: Final answer
    x = 1,281,575.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.