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Finding the Third Proportional to 325,682 and 707,066

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Solution

The third proportional to 325,682 and 707,066 is: 1,535,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,682 : 707,066 = 707,066 : x
  2. Step 2: Convert to fraction form
    325,682/707,066 = 707,066/x
  3. Step 3: Cross multiply
    325,682x = 707,066 × 707,066
  4. Step 4: Simplify right side
    325,682x = 499,942,328,356
  5. Step 5: Solve for x
    x = 499,942,328,356/325,682
  6. Step 6: Final answer
    x = 1,535,062.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.