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Finding the Third Proportional to 328,233.38 and 712,486.13

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Solution

The third proportional to 328,233.38 and 712,486.13 is: 1,546,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,233.38 : 712,486.13 = 712,486.13 : x
  2. Step 2: Convert to fraction form
    328,233.38/712,486.13 = 712,486.13/x
  3. Step 3: Cross multiply
    328,233.38x = 712,486.13 × 712,486.13
  4. Step 4: Simplify right side
    328,233.38x = 507,636,478,317.52
  5. Step 5: Solve for x
    x = 507,636,478,317.52/328,233.38
  6. Step 6: Final answer
    x = 1,546,571.79

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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.