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Finding the Third Proportional to 705,334.50 and 918,841.50

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Solution

The third proportional to 705,334.50 and 918,841.50 is: 1,196,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,334.50 : 918,841.50 = 918,841.50 : x
  2. Step 2: Convert to fraction form
    705,334.50/918,841.50 = 918,841.50/x
  3. Step 3: Cross multiply
    705,334.50x = 918,841.50 × 918,841.50
  4. Step 4: Simplify right side
    705,334.50x = 844,269,702,122.25
  5. Step 5: Solve for x
    x = 844,269,702,122.25/705,334.50
  6. Step 6: Final answer
    x = 1,196,977.75

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.