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Finding the Third Proportional to 269,495 and 586,800

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Solution

The third proportional to 269,495 and 586,800 is: 1,277,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,495 : 586,800 = 586,800 : x
  2. Step 2: Convert to fraction form
    269,495/586,800 = 586,800/x
  3. Step 3: Cross multiply
    269,495x = 586,800 × 586,800
  4. Step 4: Simplify right side
    269,495x = 344,334,240,000
  5. Step 5: Solve for x
    x = 344,334,240,000/269,495
  6. Step 6: Final answer
    x = 1,277,701.78

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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.