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Finding the Third Proportional to 485,584 and 761,738

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Solution

The third proportional to 485,584 and 761,738 is: 1,194,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,584 : 761,738 = 761,738 : x
  2. Step 2: Convert to fraction form
    485,584/761,738 = 761,738/x
  3. Step 3: Cross multiply
    485,584x = 761,738 × 761,738
  4. Step 4: Simplify right side
    485,584x = 580,244,780,644
  5. Step 5: Solve for x
    x = 580,244,780,644/485,584
  6. Step 6: Final answer
    x = 1,194,942.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.