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Finding the Third Proportional to 328,462.50 and 706,032

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Solution

The third proportional to 328,462.50 and 706,032 is: 1,517,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,462.50 : 706,032 = 706,032 : x
  2. Step 2: Convert to fraction form
    328,462.50/706,032 = 706,032/x
  3. Step 3: Cross multiply
    328,462.50x = 706,032 × 706,032
  4. Step 4: Simplify right side
    328,462.50x = 498,481,185,024
  5. Step 5: Solve for x
    x = 498,481,185,024/328,462.50
  6. Step 6: Final answer
    x = 1,517,619.77

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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.