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Finding the Third Proportional to 262,351 and 579,833

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Solution

The third proportional to 262,351 and 579,833 is: 1,281,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,351 : 579,833 = 579,833 : x
  2. Step 2: Convert to fraction form
    262,351/579,833 = 579,833/x
  3. Step 3: Cross multiply
    262,351x = 579,833 × 579,833
  4. Step 4: Simplify right side
    262,351x = 336,206,307,889
  5. Step 5: Solve for x
    x = 336,206,307,889/262,351
  6. Step 6: Final answer
    x = 1,281,513.35

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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.