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Finding the Third Proportional to 328,244 and 706,702

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Solution

The third proportional to 328,244 and 706,702 is: 1,521,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,244 : 706,702 = 706,702 : x
  2. Step 2: Convert to fraction form
    328,244/706,702 = 706,702/x
  3. Step 3: Cross multiply
    328,244x = 706,702 × 706,702
  4. Step 4: Simplify right side
    328,244x = 499,427,716,804
  5. Step 5: Solve for x
    x = 499,427,716,804/328,244
  6. Step 6: Final answer
    x = 1,521,513.62

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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.