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Finding the Third Proportional to 266,582 and 587,205

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Solution

The third proportional to 266,582 and 587,205 is: 1,293,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,582 : 587,205 = 587,205 : x
  2. Step 2: Convert to fraction form
    266,582/587,205 = 587,205/x
  3. Step 3: Cross multiply
    266,582x = 587,205 × 587,205
  4. Step 4: Simplify right side
    266,582x = 344,809,712,025
  5. Step 5: Solve for x
    x = 344,809,712,025/266,582
  6. Step 6: Final answer
    x = 1,293,447.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.