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Finding the Third Proportional to 328,463.86 and 706,028.91

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Solution

The third proportional to 328,463.86 and 706,028.91 is: 1,517,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,463.86 : 706,028.91 = 706,028.91 : x
  2. Step 2: Convert to fraction form
    328,463.86/706,028.91 = 706,028.91/x
  3. Step 3: Cross multiply
    328,463.86x = 706,028.91 × 706,028.91
  4. Step 4: Simplify right side
    328,463.86x = 498,476,816,460.57
  5. Step 5: Solve for x
    x = 498,476,816,460.57/328,463.86
  6. Step 6: Final answer
    x = 1,517,600.19

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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.