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Finding the Third Proportional to 328,004.44 and 695,010.38

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Solution

The third proportional to 328,004.44 and 695,010.38 is: 1,472,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,004.44 : 695,010.38 = 695,010.38 : x
  2. Step 2: Convert to fraction form
    328,004.44/695,010.38 = 695,010.38/x
  3. Step 3: Cross multiply
    328,004.44x = 695,010.38 × 695,010.38
  4. Step 4: Simplify right side
    328,004.44x = 483,039,421,357.64
  5. Step 5: Solve for x
    x = 483,039,421,357.64/328,004.44
  6. Step 6: Final answer
    x = 1,472,661.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.