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Finding the Third Proportional to 294,983 and 447,911.50

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Solution

The third proportional to 294,983 and 447,911.50 is: 680,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,983 : 447,911.50 = 447,911.50 : x
  2. Step 2: Convert to fraction form
    294,983/447,911.50 = 447,911.50/x
  3. Step 3: Cross multiply
    294,983x = 447,911.50 × 447,911.50
  4. Step 4: Simplify right side
    294,983x = 200,624,711,832.25
  5. Step 5: Solve for x
    x = 200,624,711,832.25/294,983
  6. Step 6: Final answer
    x = 680,122.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.