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Finding the Third Proportional to 705,405.75 and 1,008,334.13

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Solution

The third proportional to 705,405.75 and 1,008,334.13 is: 1,441,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,405.75 : 1,008,334.13 = 1,008,334.13 : x
  2. Step 2: Convert to fraction form
    705,405.75/1,008,334.13 = 1,008,334.13/x
  3. Step 3: Cross multiply
    705,405.75x = 1,008,334.13 × 1,008,334.13
  4. Step 4: Simplify right side
    705,405.75x = 1,016,737,707,639.52
  5. Step 5: Solve for x
    x = 1,016,737,707,639.52/705,405.75
  6. Step 6: Final answer
    x = 1,441,351.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.