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Finding the Third Proportional to 264,489 and 579,682

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Solution

The third proportional to 264,489 and 579,682 is: 1,270,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,489 : 579,682 = 579,682 : x
  2. Step 2: Convert to fraction form
    264,489/579,682 = 579,682/x
  3. Step 3: Cross multiply
    264,489x = 579,682 × 579,682
  4. Step 4: Simplify right side
    264,489x = 336,031,221,124
  5. Step 5: Solve for x
    x = 336,031,221,124/264,489
  6. Step 6: Final answer
    x = 1,270,492.24

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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.