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Finding the Third Proportional to 572,964.75 and 1,214,230.50

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Solution

The third proportional to 572,964.75 and 1,214,230.50 is: 2,573,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,964.75 : 1,214,230.50 = 1,214,230.50 : x
  2. Step 2: Convert to fraction form
    572,964.75/1,214,230.50 = 1,214,230.50/x
  3. Step 3: Cross multiply
    572,964.75x = 1,214,230.50 × 1,214,230.50
  4. Step 4: Simplify right side
    572,964.75x = 1,474,355,707,130.25
  5. Step 5: Solve for x
    x = 1,474,355,707,130.25/572,964.75
  6. Step 6: Final answer
    x = 2,573,204.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.