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Finding the Third Proportional to 705,232.50 and 1,528,563

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Solution

The third proportional to 705,232.50 and 1,528,563 is: 3,313,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,232.50 : 1,528,563 = 1,528,563 : x
  2. Step 2: Convert to fraction form
    705,232.50/1,528,563 = 1,528,563/x
  3. Step 3: Cross multiply
    705,232.50x = 1,528,563 × 1,528,563
  4. Step 4: Simplify right side
    705,232.50x = 2,336,504,844,969
  5. Step 5: Solve for x
    x = 2,336,504,844,969/705,232.50
  6. Step 6: Final answer
    x = 3,313,098.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.