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Finding the Third Proportional to 323,822 and 428,322

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Solution

The third proportional to 323,822 and 428,322 is: 566,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,822 : 428,322 = 428,322 : x
  2. Step 2: Convert to fraction form
    323,822/428,322 = 428,322/x
  3. Step 3: Cross multiply
    323,822x = 428,322 × 428,322
  4. Step 4: Simplify right side
    323,822x = 183,459,735,684
  5. Step 5: Solve for x
    x = 183,459,735,684/323,822
  6. Step 6: Final answer
    x = 566,545.00

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.