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Finding the Third Proportional to 297,619.50 and 624,724.50

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Solution

The third proportional to 297,619.50 and 624,724.50 is: 1,311,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,619.50 : 624,724.50 = 624,724.50 : x
  2. Step 2: Convert to fraction form
    297,619.50/624,724.50 = 624,724.50/x
  3. Step 3: Cross multiply
    297,619.50x = 624,724.50 × 624,724.50
  4. Step 4: Simplify right side
    297,619.50x = 390,280,700,900.25
  5. Step 5: Solve for x
    x = 390,280,700,900.25/297,619.50
  6. Step 6: Final answer
    x = 1,311,341.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.