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Finding the Third Proportional to 266,286 and 579,588

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Solution

The third proportional to 266,286 and 579,588 is: 1,261,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,286 : 579,588 = 579,588 : x
  2. Step 2: Convert to fraction form
    266,286/579,588 = 579,588/x
  3. Step 3: Cross multiply
    266,286x = 579,588 × 579,588
  4. Step 4: Simplify right side
    266,286x = 335,922,249,744
  5. Step 5: Solve for x
    x = 335,922,249,744/266,286
  6. Step 6: Final answer
    x = 1,261,509.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.