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Finding the Third Proportional to 307,559 and 661,102

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Solution

The third proportional to 307,559 and 661,102 is: 1,421,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,559 : 661,102 = 661,102 : x
  2. Step 2: Convert to fraction form
    307,559/661,102 = 661,102/x
  3. Step 3: Cross multiply
    307,559x = 661,102 × 661,102
  4. Step 4: Simplify right side
    307,559x = 437,055,854,404
  5. Step 5: Solve for x
    x = 437,055,854,404/307,559
  6. Step 6: Final answer
    x = 1,421,047.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.