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Finding the Third Proportional to 266,280 and 579,582

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Solution

The third proportional to 266,280 and 579,582 is: 1,261,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,280 : 579,582 = 579,582 : x
  2. Step 2: Convert to fraction form
    266,280/579,582 = 579,582/x
  3. Step 3: Cross multiply
    266,280x = 579,582 × 579,582
  4. Step 4: Simplify right side
    266,280x = 335,915,294,724
  5. Step 5: Solve for x
    x = 335,915,294,724/266,280
  6. Step 6: Final answer
    x = 1,261,511.55

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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.