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Finding the Third Proportional to 268,471.50 and 578,977.50

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Solution

The third proportional to 268,471.50 and 578,977.50 is: 1,248,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,471.50 : 578,977.50 = 578,977.50 : x
  2. Step 2: Convert to fraction form
    268,471.50/578,977.50 = 578,977.50/x
  3. Step 3: Cross multiply
    268,471.50x = 578,977.50 × 578,977.50
  4. Step 4: Simplify right side
    268,471.50x = 335,214,945,506.25
  5. Step 5: Solve for x
    x = 335,214,945,506.25/268,471.50
  6. Step 6: Final answer
    x = 1,248,605.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.