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Finding the Third Proportional to 440,511 and 700,151

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Solution

The third proportional to 440,511 and 700,151 is: 1,112,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,511 : 700,151 = 700,151 : x
  2. Step 2: Convert to fraction form
    440,511/700,151 = 700,151/x
  3. Step 3: Cross multiply
    440,511x = 700,151 × 700,151
  4. Step 4: Simplify right side
    440,511x = 490,211,422,801
  5. Step 5: Solve for x
    x = 490,211,422,801/440,511
  6. Step 6: Final answer
    x = 1,112,824.48

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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.