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Finding the Third Proportional to 440,608 and 700,279

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Solution

The third proportional to 440,608 and 700,279 is: 1,112,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,608 : 700,279 = 700,279 : x
  2. Step 2: Convert to fraction form
    440,608/700,279 = 700,279/x
  3. Step 3: Cross multiply
    440,608x = 700,279 × 700,279
  4. Step 4: Simplify right side
    440,608x = 490,390,677,841
  5. Step 5: Solve for x
    x = 490,390,677,841/440,608
  6. Step 6: Final answer
    x = 1,112,986.32

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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.