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Finding the Third Proportional to 328,448 and 706,008

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Solution

The third proportional to 328,448 and 706,008 is: 1,517,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,448 : 706,008 = 706,008 : x
  2. Step 2: Convert to fraction form
    328,448/706,008 = 706,008/x
  3. Step 3: Cross multiply
    328,448x = 706,008 × 706,008
  4. Step 4: Simplify right side
    328,448x = 498,447,296,064
  5. Step 5: Solve for x
    x = 498,447,296,064/328,448
  6. Step 6: Final answer
    x = 1,517,583.59

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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.