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Finding the Third Proportional to 356,730.50 and 522,298

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Solution

The third proportional to 356,730.50 and 522,298 is: 764,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,730.50 : 522,298 = 522,298 : x
  2. Step 2: Convert to fraction form
    356,730.50/522,298 = 522,298/x
  3. Step 3: Cross multiply
    356,730.50x = 522,298 × 522,298
  4. Step 4: Simplify right side
    356,730.50x = 272,795,200,804
  5. Step 5: Solve for x
    x = 272,795,200,804/356,730.50
  6. Step 6: Final answer
    x = 764,709.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.