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Finding the Third Proportional to 328,238 and 712,496

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Solution

The third proportional to 328,238 and 712,496 is: 1,546,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,238 : 712,496 = 712,496 : x
  2. Step 2: Convert to fraction form
    328,238/712,496 = 712,496/x
  3. Step 3: Cross multiply
    328,238x = 712,496 × 712,496
  4. Step 4: Simplify right side
    328,238x = 507,650,550,016
  5. Step 5: Solve for x
    x = 507,650,550,016/328,238
  6. Step 6: Final answer
    x = 1,546,592.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.