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Finding the Third Proportional to 262,371 and 579,873

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Solution

The third proportional to 262,371 and 579,873 is: 1,281,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,371 : 579,873 = 579,873 : x
  2. Step 2: Convert to fraction form
    262,371/579,873 = 579,873/x
  3. Step 3: Cross multiply
    262,371x = 579,873 × 579,873
  4. Step 4: Simplify right side
    262,371x = 336,252,696,129
  5. Step 5: Solve for x
    x = 336,252,696,129/262,371
  6. Step 6: Final answer
    x = 1,281,592.46

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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.