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Finding the Third Proportional to 442,813.50 and 704,947.50

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Solution

The third proportional to 442,813.50 and 704,947.50 is: 1,122,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,813.50 : 704,947.50 = 704,947.50 : x
  2. Step 2: Convert to fraction form
    442,813.50/704,947.50 = 704,947.50/x
  3. Step 3: Cross multiply
    442,813.50x = 704,947.50 × 704,947.50
  4. Step 4: Simplify right side
    442,813.50x = 496,950,977,756.25
  5. Step 5: Solve for x
    x = 496,950,977,756.25/442,813.50
  6. Step 6: Final answer
    x = 1,122,257.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.