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Finding the Third Proportional to 440,510 and 700,149

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Solution

The third proportional to 440,510 and 700,149 is: 1,112,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,510 : 700,149 = 700,149 : x
  2. Step 2: Convert to fraction form
    440,510/700,149 = 700,149/x
  3. Step 3: Cross multiply
    440,510x = 700,149 × 700,149
  4. Step 4: Simplify right side
    440,510x = 490,208,622,201
  5. Step 5: Solve for x
    x = 490,208,622,201/440,510
  6. Step 6: Final answer
    x = 1,112,820.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.