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Finding the Third Proportional to 306,406 and 472,528.50

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Solution

The third proportional to 306,406 and 472,528.50 is: 728,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,406 : 472,528.50 = 472,528.50 : x
  2. Step 2: Convert to fraction form
    306,406/472,528.50 = 472,528.50/x
  3. Step 3: Cross multiply
    306,406x = 472,528.50 × 472,528.50
  4. Step 4: Simplify right side
    306,406x = 223,283,183,312.25
  5. Step 5: Solve for x
    x = 223,283,183,312.25/306,406
  6. Step 6: Final answer
    x = 728,716.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.