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Finding the Third Proportional to 307,932 and 661,696

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Solution

The third proportional to 307,932 and 661,696 is: 1,421,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,932 : 661,696 = 661,696 : x
  2. Step 2: Convert to fraction form
    307,932/661,696 = 661,696/x
  3. Step 3: Cross multiply
    307,932x = 661,696 × 661,696
  4. Step 4: Simplify right side
    307,932x = 437,841,596,416
  5. Step 5: Solve for x
    x = 437,841,596,416/307,932
  6. Step 6: Final answer
    x = 1,421,877.55

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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.