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Finding the Third Proportional to 265,007 and 579,519

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Solution

The third proportional to 265,007 and 579,519 is: 1,267,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,007 : 579,519 = 579,519 : x
  2. Step 2: Convert to fraction form
    265,007/579,519 = 579,519/x
  3. Step 3: Cross multiply
    265,007x = 579,519 × 579,519
  4. Step 4: Simplify right side
    265,007x = 335,842,271,361
  5. Step 5: Solve for x
    x = 335,842,271,361/265,007
  6. Step 6: Final answer
    x = 1,267,295.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.