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Finding the Third Proportional to 300,109.50 and 708,436.50

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Solution

The third proportional to 300,109.50 and 708,436.50 is: 1,672,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,109.50 : 708,436.50 = 708,436.50 : x
  2. Step 2: Convert to fraction form
    300,109.50/708,436.50 = 708,436.50/x
  3. Step 3: Cross multiply
    300,109.50x = 708,436.50 × 708,436.50
  4. Step 4: Simplify right side
    300,109.50x = 501,882,274,532.25
  5. Step 5: Solve for x
    x = 501,882,274,532.25/300,109.50
  6. Step 6: Final answer
    x = 1,672,330.51

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.