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Finding the Third Proportional to 481,094 and 761,745

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Solution

The third proportional to 481,094 and 761,745 is: 1,206,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,094 : 761,745 = 761,745 : x
  2. Step 2: Convert to fraction form
    481,094/761,745 = 761,745/x
  3. Step 3: Cross multiply
    481,094x = 761,745 × 761,745
  4. Step 4: Simplify right side
    481,094x = 580,255,445,025
  5. Step 5: Solve for x
    x = 580,255,445,025/481,094
  6. Step 6: Final answer
    x = 1,206,116.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.